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Del 73 - Lecture Notes in Physics Monographs
Diffuse Interface Approach in Materials Science
Thermodynamic Concepts and Applications of Phase-Field Models
AvHeike Emmerich
Inbunden, Engelska, 2003
1 113 kr
Skickas inom 10-15 vardagar
Many inhomogeneous systems involve domains of well-de?ned phases se- rated by a distinct interface. If they are driven out of equilibrium one phase will grow at the cost of the other. Examples are phase separation by sp- odal decomposition or nucleation and subsequent growth of the nucleus in the nourishing phase [139]. Another example which has often been discussed as a paradigmatic problem is that of dendritic solidi?cation [29, 64, 79, 199]. The phenomenological description of these phenomena involves the de?- tion of a precisely located interfacial surface on which boundary conditions are imposed. One of those boundary conditions typically yields a normal - locity at which the interface is moving. This is the so-calledsharp interface approach, adopted both in analytical and numerical studies for a variety of contexts involving a moving boundary. The origin of such a description is - ten transparent, being obtained by symmetry arguments and common sense.
Del 65 - Lecture Notes in Physics Monographs
Generating Families in the Restricted Three-Body Problem
II. Quantitative Study of Bifurcations
AvMichel Henon
Inbunden, Engelska, 2001
1 113 kr
Skickas inom 10-15 vardagar
hereafter calledvolume the of In a volume study previous (H6non 1997, I), the restricted initiated. families in problem (We generating three body was recallthat families defined asthe limits offamilies of are periodic generating determinationof orbitsfor Themain wasfoundto lieinthe 4 problem p 0.) bifurcation wheretwo the betweenthebranches ata ormore orbit, junctions A solutionto this was familiesof orbits intersect. partial problem generating and sidesof theuseofinvariants: Manysimple symmetries passage. givenby In the evolution of the bifurcations can be solved in this way. particular, orbits be described almost nine natural families of can completely. periodic become i.e.when thenumber of asthe bifurcations morecomplex, However, fails. the bifurcation orbit themethod families increases, passingthrough of This volume describes another to the a approach problem, consisting in of bifurcation ofthe families the a analysis vicinity detailed, quantitative used in Vol. I. orbit. This moreworkthan the requires qualitativeapproach in at to deter it has the of least, However, advantage allowing us, principle branches Infact it morethanthat: minein allcaseshowthe are joined. gives almost all the first order we will see in asymptotic approxima that, cases, the families in the ofthe bifurcation can be derived.tion of neighbourhood found in with This a comparison numerically allows, particular, quantitative families. and The 11 dealswiththerelevant definitions Chapter generalequations. of describedin 12 16.The ofbifurcations 1 is Chaps. study type quantitative it is described in 17 23. 3 of 2 ismore Chaps. Type analysis type involved; its hadnot been at thetime of isevenmore completed complex; analysis yet writing.
Del 67 - Lecture Notes in Physics Monographs
Statistical Structure of Quantum Theory
AvAlexander S. Holevo
Inbunden, Engelska, 2001
1 667 kr
Skickas inom 10-15 vardagar
New ideas on the mathematical foundations of quantum mechanics, related to the theory of quantum measurement, as well as the emergence of quantum optics, quantum electronics and optical communications have shown that the statistical structure of quantum mechanics deserves special investigation. In the meantime it has become a mature subject. In this book, the author, himself a leading researcher in this field, surveys the basic principles and results of the theory, concentrating on mathematically precise formulations. Special attention is given to the measurement dynamics. The presentation is pragmatic, concentrating on the ideas and their motivation. For detailed proofs, the readers, researchers and graduate students, are referred to the extensively documented literature.
Del 68 - Lecture Notes in Physics Monographs
Supersymmetry: Structure and Phenomena
Extensions of the Standard Model
AvNir Polonsky
Inbunden, Engelska, 2001
1 113 kr
Skickas inom 10-15 vardagar
is one of the most discussed themes in Supersymmetry modern particle there is no evidence for its in physics, although convincing existence yet nature. the andtheoretical ofthis Intriguedby uniqueness beauty symmetry, researchersinthe field areconfidentthat interest willcontinueinthe coming and even decades. In ofthemost recent fact, years many exciting develop ments inmathematical field and physics,quantum theory were stringtheory obtained the of using concepts supersymmetry. Stillthe most of resides inthe fascinatingaspect supersymmetry possibil that extendthe it celebratedstandardmodelof ity might elementaryparticle into accessible an to and physics energyrange present planned experiments: its thusbe "aroundthe corner"'. This so called experimentaldiscoverymight the ofthestan "low energy" supersymmetry, supersymmetricgeneralization dard model of weakand is the central strong, electromagnetic interactions, ofthe book. subject present Nir iswellsuitedasanauthorofsuch book he is in Polonsky a as an expert the field his hasmade contributionsto its and,throughout important career, Inthe he tour" development. presentmonograph providesa "guided through thisvast fieldof Ina heselects "low energy" supersymmetry, convincing way the essential and a consistent account ofthe topics provides field, avoiding thediscussionof details.Hisclearand make unnecessary patientexplanations this book useful both for the researcher in the field and the experienced studentwho wants to take the first towards steps learning supersymmetry. All interested in this willwant have thisbook physicists to on their subject shelves. Bonn, Germany, 2001 Hans Peter Nilles July Preface Moor: point horse my where birds sing.
Del 69 - Lecture Notes in Physics Monographs
Laser-Strophometry
High-Resolution Techniques for Velocity Gradient Measurements in Fluid Flows
AvWilfried Staude
Inbunden, Engelska, 2001
1 113 kr
Skickas inom 10-15 vardagar
This book is the result of two decades of research work which started with an accidental observation. One of my students, Dipl. phys. Volkmar Lenz, - ticed that the speckle pattern of laser light scattered by a cuvette containing diluted milk performed a strange motion every time he came near the cuvette with his thumb. After thinkingabout this e?ect we came to the conclusion that this motion can only be caused by scatteringparticles with di?erent velocities, as in the case of the di?raction pattern of an optical grating: A linear motion of the grating does not change the pattern whereas a rotation of the grating does. The observed speckle motion could then be explained qualitatively as produced by the inhomogeneous velocity of the convection within the cuvette which was produced by the heat of the thumb. The theoretical treatment of this e?ect revealed that the velocity gradient of the light scattering medium is responsible for the speckle motion. The idea to use this e?ect for developingmeasurement techniques for velocity gradients arose almost immediately. For that purpose we had to develop not only experimental set-ups to measure the pattern velocity but also the theory which describes the connection between this velocity and the velocity gradient. The result of this work together with the description of a method developed by another group forms the contents of this book. I am indebted to the students who worked in my laboratory and developed the measurement techniques. These were, in temporal order, Dr.
Del 70 - Lecture Notes in Physics Monographs
Hamiltonian Field Theory in the Radiating Regime
AvPiotr T. Chrusciel,Jacek Jezierskim. fl.
Inbunden, Engelska, 2001
1 113 kr
Skickas inom 10-15 vardagar
In one ofthe fundamental notions is that any physical theory of of energy the hand: in mechanics at one considers the objects energy of, say, moving in fieldtheories is one interested inthe offield masses; energy configurations. A unified treatment of this which both to mechanics question, applies and to field Hamiltonian a formalism. We will theory, proceeds through shortly reviewbelowhowsuch iscarried aprocedure out inthe ofscalarfields theory Minkowski let at this on mention that an space time; us, stage, important often inthe isthat ofthe issue, ignored conditions sat textbooks, boundary isfied the set of fields under consideration. While by this issuecanbe safely for when the ignored usual field many purposes considering theories, such scalar fields or the = as on electromagnetism, ft constj hypersurfaces, where t is a it sometimes critical Minkowski time, a rolewhen other plays of classes are considered. Inthe of the hypersurfaces case situation is gravity for t= worse: even Minkowskian slicesthe f constj asymptotically boundary terms crucial. is ofthe are one main differencesbetweentheArnowitt (This Deser Misner for Sect. 5. 4 mass which is (ADM) gravity (cf. below), given a andthe usual for by boundary integral, field theories in energyexpression Minkowski wheretheHamiltonian is volume space time, a usually integral.) in field the itsmost role in Now, theory plays important theradiation energy where it can be radiated the field.
Del 71 - Lecture Notes in Physics Monographs
Magnetoviscous Effects in Ferrofluids
AvStefan Odenbach
Inbunden, Engelska, 2002
1 113 kr
Skickas inom 10-15 vardagar
Suspensions of magnetic nanoparticles or ferrofluids can be effectively controlled by magnetic fields, which opens up a fascinating field for basic research into fluid dynamics as well as a host of applications in engineering and medicine. The introductory chapter provides the reader with basic information on the structure, and magnetic and viscous properties of ferrofluids. The bulk of this monograph is based on the author's own research activity and deals with ferrohydrodynamics, especially with the magnetoviscous effects. In particular, the author studies in detail the interparticle interactions so far often neglected but of great importance in concentrated ferrofluids. The basic theory and the most recent experimental findings are presented, making the book interesting reading for physicists or engineers interested in smart materials.
Nonlinear Theory of Dislocations and Disclinations in Elastic Bodies
AvLeonid M. Zubov
Inbunden, Engelska, 1997
1 445 kr
Skickas inom 10-15 vardagar
The author applies methods of nonlinear elasticity to investigate the defects in the crystal structure of solids such as dislocations and disclinations that characterize the plastic and strength properties of many materials. Contrary to the geometrically motivated nonlinear theory of dislocations continuously distributed over the body, nonlinear analysis of isolated dislocations and disclinations is less developed; it is given for the first time in this book, and in a form accessible to both students and researchers. The general theory of Volterra's dislocations in elastic media under large deformations is developed. A number of exact solutions are found. The nonlinear approach to investigating the isolated defects produces results that often differ qualitatively from those of the linear theory.
Del 52 - Lecture Notes in Physics Monographs
Generating Families in the Restricted Three-Body Problem
AvMichel Henon
Inbunden, Engelska, 1997
1 435 kr
Skickas inom 5-8 vardagar
Thework described in this has somewhat erratically,over monograph grown, of than a more interest inthe was firstaroused period thirty My subject years. thebeautiful and inBroucke.'sthesis also by see computations drawings (1963; Broucke where familiesof orbits in the restricted three 1968), periodic body for the Earth Moon ratio = were mass problem investigated (/.I 0.012155). These that natural for the existence ofthe a explanation drawingssuggested observed familiesand for the found the of orbits could be shapes perhaps by to the limit + 0. a recourse y As first it a to as as step, appeared catalog completely possible necessary the orbits obtained in this limit. orbits of the first generaiing Generating hadbeen studied andother authors. Poincar6 specZes by (1892) Surprisingly, the two other had been Orbits ofthe however, species apparently neglected. second orbits with or consecutive a species, collisions, present comparatively the ofthe simple problem, only two body problem; no using equations yet had been done.An ofthe systematic ever constituent arcs study inventory was inH6non presented (1968).Also little work had been done on farmlies of orbits of the third very to Hill's A numerical species, was corresponding problem. investigation pub lished inR6non (1969).
Del 54 - Lecture Notes in Physics Monographs
Stochastic Variational Approach to Quantum-Mechanical Few-Body Problems
AvYasuyuki Suzuki,Kalman Varga
Inbunden, Engelska, 1998
1 113 kr
Skickas inom 10-15 vardagar
There countlessnumberof of few area examples quantum mechanical constituent in subnuclear few nucleon quarks bodysystems: physics, or few cluster in nuclear smallatomsandmolecules physics, systems inatomic few electron dots insolidstate or physics quantum physics, Theintricatefeatureofthe isthat etc. few bodysystems theydevelop individual characters thenumber ofconstituent on depending parti cles.Themesonsand the andthe'Li alpha particle baryons, nucleus, theHeatomandtheBeatom have different or very physicalproper ties.Themost ofthesedifferences thecorrelated importantcauses are motion and the Pauli This principle. individuality requires specific for the solution of methods the few body Schr6dinger Ap equation. solutions whichassumerestrictedmodel mean proximate field, spaces, failto describethebehavior ofthe etc. few bodysystems. The ofthisbook is showhow find the the to to and goal energy functionof in unified wave a few particlesystem simple, approach. any The will be intheminimum state. system normally quantum energy As to findthis the is forewarned, however, acom state, groundstate, matter.The ofthe of plicated development present stage computer makesa technology,however, simpleapproachpossible:Searching very Without forthe state a information ground by "gambling". priori any the true random on states are ground state, completely generated. Providedthattherandom states after series of axe a generalenough, trials findsthe statein Thereader one a ground goodapproximation. findthis little there indeed a but are anumberoffine suspicious may in the trial and which makes the tricks error whole idea procedure reallypracticable. Before the reader with let us bombarding sophisticated details, demonstrate therandom search with an Let us to de example.
Del 55 - Lecture Notes in Physics Monographs
Evolution of Spontaneous Structures in Dissipative Continuous Systems
AvFriedrich H. Busse,Stefan C. Müller
Inbunden, Engelska, 1998
1 113 kr
Skickas inom 10-15 vardagar
In the decades the of the formation of structures past subject spontaneous in far from has into a branch of - systems equilibrium major physics grown search with ties to It has become evident that strong neighboring disciplines. a diverse of can be understood within a common mat- phenomena range matical framework which has been called nonlinear of continuous dynamics This name the close to the field of nonlinear systems. emphasizes relationship of with few of freedom which has evolved into a dynamics systems degrees mature in the recent features mathematically subject past. Many dynamical of continuous be described reduction few can a to a systems actually through of freedom and of the latter of continue to degrees properties type systems of continuous the inspire study systems. The of this book is to demonstrate the numerous goal through examples that exist for the of nonlinear the opportunities study phenomena through tools of mathematical and use of common analyses dynamical interpretations. Instead of overview of the a providing comprehensive rapidly evolving field, the contributors to this book are to communicate to a wide scientific trying audience the of what have learnt about the formation of essence they spon- neous structures in continuous and about the dissipative systems competition between order and chaos that characterizes these It is that systems. hoped the book will be even to those scientists whose not helpful are disciplines the authors.
Self-consistent Quantum-Field Theory and Bosonization for Strongly Correlated Electron Systems
AvRudolf Haussmann
Inbunden, Engelska, 1999
1 113 kr
Skickas inom 10-15 vardagar
In interaction the between the leads to a quantum liquids particles variety of and unusual states of condensed matter interesting systems, super e.g. and the fractional in electron Hall effect conductivity quantum (FQHE) sys tems. In this book for we investigate quantum field theoretical approaches fermion the is interacting systems. Originally, quantum fieldtheory designed describe as a to perturbation theory weakly interacting many particle sys tems. For treatment of interaction and correlation effects a proper beyond the the series of must beresummed perturbation theory, Feynmandiagrams severalresummationschemeswhich the We on partially. present depend par ticular effect considered.We start with ofthe a physical compactdescription self consistent and the quantum fieldtheory approximations. conserving the of in fermion is caused two Superconductivity systems by interplay formation ofbound attractive interaction between the phenomena: pairsby fermions condensation ofthe low to and at temperatures leading long pairs order and We consider three dimensional of a range superfluidity. system fermionswith attractiveinteractionwhichshowsacrossoverfrom short range BCS to Bose Einstein condensation ofbound ifthe superconductivity pairs interaction is tuned fromweak to While the self coupling.strength strong consistent version ofthe is well suited to describe con quantum field theory densation of and a second resummation to the pairs superfluidity, leading the ofbound Bethe Salpeter equation describes formation pairs.
Symmetry and Perturbation Theory in Nonlinear Dynamics
AvGiampaolo Cicogna,Guiseppe Gaeta
Inbunden, Engelska, 1999
1 113 kr
Skickas inom 10-15 vardagar
has been in the of a Symmetry major ingredient development quantum perturba tion and it is a basic of the of theory, ingredient theory integrable (Hamiltonian and of the the use in context of non Hamiltonian) systems; yet, symmetry gen eral is rather recent. From the of view of nonlinear perturbation theory point the use of has become dynamics, widespread only through equivariant symmetry bifurcation in this attention has been confined to linear even theory; case, mostly symmetries. in recent the and of methods for dif Also, theory practice symmetry years ferential has become and has been to a equations increasingly popular applied of the of the book Olver This by variety problems (following appearance [2621). with is and deals of nature theory deeply geometrical symmetries general (pro vided that described i.e. in this context there is are vector no they by fields), to limit attention to linear reason symmetries. In this look the basic tools of i.e. normal book we at perturbation theory, introduced Poincar6 about and their inter a forms (first by century ago) study action with with no limitation to linear ones. We focus on the most symmetries, basic fixed the and i.e. a setting, systems having point (at origin) perturbative around thus is local.
Spacetime
Foundations of General Relativity and Differential Geometry
AvMarcus Kriele
Inbunden, Engelska, 1999
2 178 kr
Skickas inom 5-8 vardagar
One of the most of exciting aspects is the general relativity pred- tion of black holes and the Such Big Bang. predictions gained weight the theorems through Penrose. singularity pioneered In various by te- books on theorems general relativity singularity are and then presented used to that black holes exist and that the argue universe started with a To date what has big been is bang. a critical of what lacking analysis these theorems predict-’ We of really give a proof a typical singul- theorem and this ity use theorem to illustrate problems arising through the of possibilities violations" and "causality weak "shell very crossing These singularities". add to the problems weight of view that the point theorems alone singularity are not sufficient to the existence of predict physical singularities. The mathematical theme of the book In order to both solid gain a of and intuition understanding good for any mathematical theory, one,should to realise it as model of try a a fam- iar non-mathematical theories have had concept. Physical an especially the important on of and impact development mathematics, conversely various modern theories physical rather require sophisticated mathem- ics for their formulation. both and mathematics Today, physics are so that it is often difficult complex to master the theories in both very s- in the of jects. However, case differential pseudo-Riemannian geometry or the general relativity between and mathematics relationship physics is and it is therefore especially close, to from interd- possible profit an ciplinary approach.
Del 60 - Lecture Notes in Physics Monographs
Binding and Scattering in Two-Dimensional Systems
Applications to Quantum Wires, Waveguides and Photonic Crystals
AvJ. Timothy Londergan,John P. Carinim. fl.
Inbunden, Engelska, 1999
1 113 kr
Skickas inom 10-15 vardagar
have advances in of The last few seen our understanding revolutionary years heterostructures. An amount the electronic of enormous properties quantum undertaken both the and the theoretical of research has been on experimental in nanostructures. The field vast of electronic now covers a aspects transport and extensive number of review of an books, articles, spectrum topics, papers and conference continue to be in this area. published Complete proceedings of this and field is the of this book. beyond exciting evolving scope coverage We refer the interested reader to of the excellent and some comprehensive books and conference on this proceedings subject. Much has been made in our of confined understanding quantum progress A's is well it is to construct heterostruc known, possible quantum systems. tures which well as one dimensional are approximated quasi two dimensional, zero dimensional Our interest here is in the of or properties particles systems. We brief andfields in two dimensional a intro quasi (2 D) systems. provide duction to the of 2 D in to motion in 2 D systems, particular systems physics the confined within finite For we will assume that a area. simplicity, generally Such confined is defined an infinite hard wall a by potential. system boundary We will 2 D will be referred to as a or as a wire.
Del 61 - Lecture Notes in Physics Monographs
Ray Optics, Fermat’s Principle, and Applications to General Relativity
AvVolker Perlick
Inbunden, Engelska, 2000
1 667 kr
Skickas inom 10-15 vardagar
All kind ofinformationfrom distant celestialbodies comestous intheform of radiation. Inmost the of electromagnetic cases thisradiation propagation be can as a reasonable in described, terms of This is approximation, rays. truenot inthe but also inthe radio only ofthe electro opticalrange range Forthis the of reason laws areoffundamental magneticspectrum. optics ray for importance and astronomy, astrophysics, cosmology. to According arethe of general relativity, light light likegeodesics a rays Lorentzianmetric whichthe is described. how by spacetimegeometry This, is true as as the under the ever, only long light are rays freelypropagating influence ofthe fieldwhich is coded in the only gravitational spacetime ge If a is in an medium ometry. light ray influenced, addition, by optical (e. g. , then it will not follow ofthe by a a plasma), light like geodesic spacetime metric. It is true that for radiation the electromagnetic traveling through universe the influence ofamedium on the ofthe and usually path on ray the is small. there are several cases inwhich this influ frequency However, ence is well in inthe radio For measurable, particular very range. example, the deflection ofradio inthe field oftheSun is consider gravitational rays influenced the Solarcorona.currentand ably by Moreover, planned Doppler with microwaves in the Solar reach in the an experiments system accuracy 5 of 10 15 whichmakes it totakethe influence frequency Awlw necessary ofthe medium into account.
Equivariant Cohomology and Localization of Path Integrals
AvRichard J. Szabo
Inbunden, Engelska, 2000
1 113 kr
Skickas inom 10-15 vardagar
This book, addressing both researchers and graduate students, reviews equivariant localization techniques for the evaluation of Feynman path integrals. The author gives the relevant mathematical background in some detail, showing at the same time how localization ideas are related to classical integrability. The text explores the symmetries inherent in localizable models for assessing the applicability of localization formulae. Various applications from physics and mathematics are presented.
Del 64 - Lecture Notes in Physics Monographs
Heat Kernel and Quantum Gravity
AvIvan G. Avramidi
Inbunden, Engelska, 2000
1 113 kr
Skickas inom 10-15 vardagar
This book is aimed at theoretical as well as primarily physicists graduate students in field working quantum theory, quantum gravity, theories, gauge to sdme and and, it is not extent, general relativity cosmology. Although aimed at a I that it also be of level, hope in mathematically rigorous may terest to mathematical and mathematicians in physicists working spectral of differential mani geometry, spectral asymptotics on operators, analysis differential and mathematical methods in folds, geometry quantum theory. Thisbook will be considered too abstract some but certainly by physicists, not detailed and most mathematicians. This in completeenoughby means, thatthe material is at the level of particular, presented "physical" So, rigor. there theorems and areno and technicalcalculationsare lemmas, proofs long omitted. I tried detailed to a ofthe basic Instead, give presentation ideas, methodsandresults. Itried makethe to as andcom Also, exposition explicit as the lessabstractandhaveillustratedthe plete possible, methods language and results withsome As is well "onecannot examples. known, cover every in an text.The in this thing", especially introductory approach presented book the lines is a further of the so called along goes (and development) fieldmethod ofDe Witt. As a Ihavenot dealt at background consequence, allwithmanifoldswith boundary,non Laplacetype (ornonminimal) opera Riemann Cartan manifolds well with as as recent tors, developments many and advanced such Ashtekar's more as topics, approach,supergravity,strings, matrix etc. The membranes, interested reader is referred models, M theory tothe literature.
Connectivity and Superconductivity
AvJorge Berger,Jacob Rubinstein
Inbunden, Engelska, 2001
1 113 kr
Skickas inom 10-15 vardagar
The motto of connectivity and superconductivity is that the solutions of the Ginzburg–Landau equations are qualitatively in?uenced by the topology of the boundaries. Special attention is given to the “zero set”,the set of the positions (usually known as “quantum vortices”) where the order parameter vanishes. The paradigm of connectivity and superconductivity is the Little– Parks e?ect,discussed in most textbooks on superconductivity. This volume is intended to serve as a reference book for graduate students and researchers in physics or mathematics interested in superconductivity, or in the Schr¨ odinger equation as a limiting case of the Ginzburg–Landau equations. The e?ects considered here usually become important in the regime where the coherence length is of the order of the dimensions of the sample. While in the Little–Parks days a lot of ingenuity was required to achieve this regime, present microelectronic techniques have transformed it into a routine. Mo- over,measurement and visualization techniques are developing at a pace which makes it reasonable to expect veri?cation of distributions,and not only of global properties. Activity in the ?eld has grown and diversi?ed substantially in recent years. We have therefore invited experts ranging from experimental and theoretical physicists to pure and applied mathematicians to contribute articles for this book. While the skeleton of the book deals with superconductivity,micron- works and generalizations of the Little–Parks situation,there are also articles which deal with applications of the Ginzburg–Landau formalism to several fundamental topics,such as quantum coherence,cosmology,and questions in materials science.
Del 73 - Lecture Notes in Physics Monographs
Diffuse Interface Approach in Materials Science
Thermodynamic Concepts and Applications of Phase-Field Models
AvHeike Emmerich
Häftad, Engelska, 2011
1 113 kr
Skickas inom 10-15 vardagar
Many inhomogeneous systems involve domains of well-de?ned phases se- rated by a distinct interface. If they are driven out of equilibrium one phase will grow at the cost of the other. Examples are phase separation by sp- odal decomposition or nucleation and subsequent growth of the nucleus in the nourishing phase [139]. Another example which has often been discussed as a paradigmatic problem is that of dendritic solidi?cation [29, 64, 79, 199]. The phenomenological description of these phenomena involves the de?- tion of a precisely located interfacial surface on which boundary conditions are imposed. One of those boundary conditions typically yields a normal - locity at which the interface is moving. This is the so-calledsharp interface approach, adopted both in analytical and numerical studies for a variety of contexts involving a moving boundary. The origin of such a description is - ten transparent, being obtained by symmetry arguments and common sense.
Del 67 - Lecture Notes in Physics Monographs
Statistical Structure of Quantum Theory
AvAlexander S. Holevo
Häftad, Engelska, 2011
1 667 kr
Skickas inom 10-15 vardagar
New ideas on the mathematical foundations of quantum mechanics, related to the theory of quantum measurement, as well as the emergence of quantum optics, quantum electronics and optical communications have shown that the statistical structure of quantum mechanics deserves special investigation. In the meantime it has become a mature subject. In this book, the author, himself a leading researcher in this field, surveys the basic principles and results of the theory, concentrating on mathematically precise formulations. Special attention is given to the measurement dynamics. The presentation is pragmatic, concentrating on the ideas and their motivation. For detailed proofs, the readers, researchers and graduate students, are referred to the extensively documented literature.
Del 68 - Lecture Notes in Physics Monographs
Supersymmetry: Structure and Phenomena
Extensions of the Standard Model
AvNir Polonsky
Häftad, Engelska, 2010
1 113 kr
Skickas inom 10-15 vardagar
is one of the most discussed themes in Supersymmetry modern particle there is no evidence for its in physics, although convincing existence yet nature. the andtheoretical ofthis Intriguedby uniqueness beauty symmetry, researchersinthe field areconfidentthat interest willcontinueinthe coming and even decades. In ofthemost recent fact, years many exciting develop ments inmathematical field and physics,quantum theory were stringtheory obtained the of using concepts supersymmetry. Stillthe most of resides inthe fascinatingaspect supersymmetry possibil that extendthe it celebratedstandardmodelof ity might elementaryparticle into accessible an to and physics energyrange present planned experiments: its thusbe "aroundthe corner"'. This so called experimentaldiscoverymight the ofthestan "low energy" supersymmetry, supersymmetricgeneralization dard model of weakand is the central strong, electromagnetic interactions, ofthe book. subject present Nir iswellsuitedasanauthorofsuch book he is in Polonsky a as an expert the field his hasmade contributionsto its and,throughout important career, Inthe he tour" development. presentmonograph providesa "guided through thisvast fieldof Ina heselects "low energy" supersymmetry, convincing way the essential and a consistent account ofthe topics provides field, avoiding thediscussionof details.Hisclearand make unnecessary patientexplanations this book useful both for the researcher in the field and the experienced studentwho wants to take the first towards steps learning supersymmetry. All interested in this willwant have thisbook physicists to on their subject shelves. Bonn, Germany, 2001 Hans Peter Nilles July Preface Moor: point horse my where birds sing.
Del 69 - Lecture Notes in Physics Monographs
Laser-Strophometry
High-Resolution Techniques for Velocity Gradient Measurements in Fluid Flows
AvWilfried Staude
Häftad, Engelska, 2011
1 113 kr
Skickas inom 10-15 vardagar
This book is the result of two decades of research work which started with an accidental observation. One of my students, Dipl. phys. Volkmar Lenz, - ticed that the speckle pattern of laser light scattered by a cuvette containing diluted milk performed a strange motion every time he came near the cuvette with his thumb. After thinkingabout this e?ect we came to the conclusion that this motion can only be caused by scatteringparticles with di?erent velocities, as in the case of the di?raction pattern of an optical grating: A linear motion of the grating does not change the pattern whereas a rotation of the grating does. The observed speckle motion could then be explained qualitatively as produced by the inhomogeneous velocity of the convection within the cuvette which was produced by the heat of the thumb. The theoretical treatment of this e?ect revealed that the velocity gradient of the light scattering medium is responsible for the speckle motion. The idea to use this e?ect for developingmeasurement techniques for velocity gradients arose almost immediately. For that purpose we had to develop not only experimental set-ups to measure the pattern velocity but also the theory which describes the connection between this velocity and the velocity gradient. The result of this work together with the description of a method developed by another group forms the contents of this book. I am indebted to the students who worked in my laboratory and developed the measurement techniques. These were, in temporal order, Dr.
Del 70 - Lecture Notes in Physics Monographs
Hamiltonian Field Theory in the Radiating Regime
AvPiotr T. Chrusciel,Jacek Jezierskim. fl.
Häftad, Engelska, 2011
1 113 kr
Skickas inom 10-15 vardagar
In one ofthe fundamental notions is that any physical theory of of energy the hand: in mechanics at one considers the objects energy of, say, moving in fieldtheories is one interested inthe offield masses; energy configurations. A unified treatment of this which both to mechanics question, applies and to field Hamiltonian a formalism. We will theory, proceeds through shortly reviewbelowhowsuch iscarried aprocedure out inthe ofscalarfields theory Minkowski let at this on mention that an space time; us, stage, important often inthe isthat ofthe issue, ignored conditions sat textbooks, boundary isfied the set of fields under consideration. While by this issuecanbe safely for when the ignored usual field many purposes considering theories, such scalar fields or the = as on electromagnetism, ft constj hypersurfaces, where t is a it sometimes critical Minkowski time, a rolewhen other plays of classes are considered. Inthe of the hypersurfaces case situation is gravity for t= worse: even Minkowskian slicesthe f constj asymptotically boundary terms crucial. is ofthe are one main differencesbetweentheArnowitt (This Deser Misner for Sect. 5. 4 mass which is (ADM) gravity (cf. below), given a andthe usual for by boundary integral, field theories in energyexpression Minkowski wheretheHamiltonian is volume space time, a usually integral.) in field the itsmost role in Now, theory plays important theradiation energy where it can be radiated the field.
Del 71 - Lecture Notes in Physics Monographs
Magnetoviscous Effects in Ferrofluids
AvStefan Odenbach
Häftad, Engelska, 2011
1 113 kr
Skickas inom 10-15 vardagar
Suspensions of magnetic nanoparticles or ferrofluids can be effectively controlled by magnetic fields, which opens up a fascinating field for basic research into fluid dynamics as well as a host of applications in engineering and medicine. The introductory chapter provides the reader with basic information on the structure, and magnetic and viscous properties of ferrofluids. The bulk of this monograph is based on the author's own research activity and deals with ferrohydrodynamics, especially with the magnetoviscous effects. In particular, the author studies in detail the interparticle interactions so far often neglected but of great importance in concentrated ferrofluids. The basic theory and the most recent experimental findings are presented, making the book interesting reading for physicists or engineers interested in smart materials.
Nonlinear Theory of Dislocations and Disclinations in Elastic Bodies
AvLeonid M. Zubov
Häftad, Engelska, 2011
1 445 kr
Skickas inom 10-15 vardagar
The author applies methods of nonlinear elasticity to investigate the defects in the crystal structure of solids such as dislocations and disclinations that characterize the plastic and strength properties of many materials. Contrary to the geometrically motivated nonlinear theory of dislocations continuously distributed over the body, nonlinear analysis of isolated dislocations and disclinations is less developed; it is given for the first time in this book, and in a form accessible to both students and researchers. The general theory of Volterra's dislocations in elastic media under large deformations is developed. A number of exact solutions are found. The nonlinear approach to investigating the isolated defects produces results that often differ qualitatively from those of the linear theory.
Del 54 - Lecture Notes in Physics Monographs
Stochastic Variational Approach to Quantum-Mechanical Few-Body Problems
AvYasuyuki Suzuki,Kalman Varga
Häftad, Engelska, 2010
1 113 kr
Skickas inom 10-15 vardagar
There countlessnumberof of few area examples quantum mechanical constituent in subnuclear few nucleon quarks bodysystems: physics, or few cluster in nuclear smallatomsandmolecules physics, systems inatomic few electron dots insolidstate or physics quantum physics, Theintricatefeatureofthe isthat etc. few bodysystems theydevelop individual characters thenumber ofconstituent on depending parti cles.Themesonsand the andthe'Li alpha particle baryons, nucleus, theHeatomandtheBeatom have different or very physicalproper ties.Themost ofthesedifferences thecorrelated importantcauses are motion and the Pauli This principle. individuality requires specific for the solution of methods the few body Schr6dinger Ap equation. solutions whichassumerestrictedmodel mean proximate field, spaces, failto describethebehavior ofthe etc. few bodysystems. The ofthisbook is showhow find the the to to and goal energy functionof in unified wave a few particlesystem simple, approach. any The will be intheminimum state. system normally quantum energy As to findthis the is forewarned, however, acom state, groundstate, matter.The ofthe of plicated development present stage computer makesa technology,however, simpleapproachpossible:Searching very Without forthe state a information ground by "gambling". priori any the true random on states are ground state, completely generated. Providedthattherandom states after series of axe a generalenough, trials findsthe statein Thereader one a ground goodapproximation. findthis little there indeed a but are anumberoffine suspicious may in the trial and which makes the tricks error whole idea procedure reallypracticable. Before the reader with let us bombarding sophisticated details, demonstrate therandom search with an Let us to de example.
Del 55 - Lecture Notes in Physics Monographs
Evolution of Spontaneous Structures in Dissipative Continuous Systems
AvFriedrich H. Busse,Stefan C. Müller
Häftad, Engelska, 2011
1 113 kr
Skickas inom 10-15 vardagar
This collection of articles forms a cohesive text on the rapidly evolving field of nonlinear dynamics of continous systems. It addresses researchers but it can also be used as a text for graduate work. The authors demonstrate through numerous examples the use of common tools of mathematical analyses and dynamical interpretations for the study of nonlinear phenomena. Instead of providing a comprehensive overview of the rapidly evolving field, the contributors treat the essence of what is known about the formation of spontaneous structures in dissipative continuous systems and about the competition between order and chaos that characterizes those systems. The topics discussed in this volume range from mathematical foundations to interpretations of concrete phenomena in fluids, chemical reactions, structure forming processes in semiconductors and even granular matter.
Del 56 - Lecture Notes in Physics Monographs
Self-consistent Quantum-Field Theory and Bosonization for Strongly Correlated Electron Systems
AvRudolf Haussmann
Häftad, Engelska, 2011
1 113 kr
Skickas inom 10-15 vardagar
In interaction the between the leads to a quantum liquids particles variety of and unusual states of condensed matter interesting systems, super e.g. and the fractional in electron Hall effect conductivity quantum (FQHE) sys tems. In this book for we investigate quantum field theoretical approaches fermion the is interacting systems. Originally, quantum fieldtheory designed describe as a to perturbation theory weakly interacting many particle sys tems. For treatment of interaction and correlation effects a proper beyond the the series of must beresummed perturbation theory, Feynmandiagrams severalresummationschemeswhich the We on partially. present depend par ticular effect considered.We start with ofthe a physical compactdescription self consistent and the quantum fieldtheory approximations. conserving the of in fermion is caused two Superconductivity systems by interplay formation ofbound attractive interaction between the phenomena: pairsby fermions condensation ofthe low to and at temperatures leading long pairs order and We consider three dimensional of a range superfluidity. system fermionswith attractiveinteractionwhichshowsacrossoverfrom short range BCS to Bose Einstein condensation ofbound ifthe superconductivity pairs interaction is tuned fromweak to While the self coupling.strength strong consistent version ofthe is well suited to describe con quantum field theory densation of and a second resummation to the pairs superfluidity, leading the ofbound Bethe Salpeter equation describes formation pairs.
Del 57 - Lecture Notes in Physics Monographs
Symmetry and Perturbation Theory in Nonlinear Dynamics
AvGiampaolo Cicogna,Guiseppe Gaeta
Häftad, Engelska, 2011
1 113 kr
Skickas inom 10-15 vardagar
has been in the of a Symmetry major ingredient development quantum perturba tion and it is a basic of the of theory, ingredient theory integrable (Hamiltonian and of the the use in context of non Hamiltonian) systems; yet, symmetry gen eral is rather recent. From the of view of nonlinear perturbation theory point the use of has become dynamics, widespread only through equivariant symmetry bifurcation in this attention has been confined to linear even theory; case, mostly symmetries. in recent the and of methods for dif Also, theory practice symmetry years ferential has become and has been to a equations increasingly popular applied of the of the book Olver This by variety problems (following appearance [2621). with is and deals of nature theory deeply geometrical symmetries general (pro vided that described i.e. in this context there is are vector no they by fields), to limit attention to linear reason symmetries. In this look the basic tools of i.e. normal book we at perturbation theory, introduced Poincar6 about and their inter a forms (first by century ago) study action with with no limitation to linear ones. We focus on the most symmetries, basic fixed the and i.e. a setting, systems having point (at origin) perturbative around thus is local.

Lecture Notes in Physics Monographs – serie

Diffuse Interface Approach in Materials Science

Generating Families in the Restricted Three-Body Problem

Statistical Structure of Quantum Theory

Supersymmetry: Structure and Phenomena

Laser-Strophometry

Hamiltonian Field Theory in the Radiating Regime

Magnetoviscous Effects in Ferrofluids

Nonlinear Theory of Dislocations and Disclinations in Elastic Bodies

Generating Families in the Restricted Three-Body Problem

Stochastic Variational Approach to Quantum-Mechanical Few-Body Problems

Evolution of Spontaneous Structures in Dissipative Continuous Systems

Self-consistent Quantum-Field Theory and Bosonization for Strongly Correlated Electron Systems

Symmetry and Perturbation Theory in Nonlinear Dynamics

Spacetime

Binding and Scattering in Two-Dimensional Systems

Ray Optics, Fermat’s Principle, and Applications to General Relativity

Equivariant Cohomology and Localization of Path Integrals

Heat Kernel and Quantum Gravity

Connectivity and Superconductivity

Diffuse Interface Approach in Materials Science

Statistical Structure of Quantum Theory

Supersymmetry: Structure and Phenomena

Laser-Strophometry

Hamiltonian Field Theory in the Radiating Regime

Magnetoviscous Effects in Ferrofluids

Nonlinear Theory of Dislocations and Disclinations in Elastic Bodies

Stochastic Variational Approach to Quantum-Mechanical Few-Body Problems

Evolution of Spontaneous Structures in Dissipative Continuous Systems

Self-consistent Quantum-Field Theory and Bosonization for Strongly Correlated Electron Systems

Symmetry and Perturbation Theory in Nonlinear Dynamics