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77 produkter
Del 73 - Lecture Notes in Physics Monographs
Diffuse Interface Approach in Materials Science
Thermodynamic Concepts and Applications of Phase-Field Models
Inbunden, Engelska, 2003
1 069 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
Inbunden, Engelska, 2001
1 069 kr
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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.
1 584 kr
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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.
1 069 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.
Laser-Strophometry
High-Resolution Techniques for Velocity Gradient Measurements in Fluid Flows
Inbunden, Engelska, 2001
1 069 kr
Skickas inom 10-15 vardagar
This book describes techniques that allow the measurement of arbitrary velocity gradient components in fluids with high spatial and temporal resolution, e.g. turbulent fluids. The techniques are based on the properties of scattered laser light. The book gives a detailed and rigorous treatment of the physical and mathematical background in a pedagogical presentation accessible to students in physics and engineering. From both the theoretical and experimental points of view, four different schemes are discussed in detail; the schemes differ in the way the velocity of the moving pattern of the scattered laser light is measured.
Del 70 - Lecture Notes in Physics Monographs
Hamiltonian Field Theory in the Radiating Regime
Inbunden, Engelska, 2001
1 069 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
Inbunden, Engelska, 2002
1 069 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.
1 387 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
Inbunden, Engelska, 1997
1 361 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).
1 069 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.
1 069 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.
Self-consistent Quantum-Field Theory and Bosonization for Strongly Correlated Electron Systems
Inbunden, Engelska, 1999
1 069 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.
1 069 kr
Skickas inom 10-15 vardagar
This book deals with the theory of Poincare--Birkhoff normal forms, studying symmetric systems in particular. Attention is focused on general Lie point symmetries, and not just on symmetries acting linearly. Some results on the simultaneous normalization of a vector field describing a dynamical system and vector fields describing its symmetry are presented and a perturbative approach is also used. Attention is given to the problem of convergence of the normalizing transformation in the presence of symmetry, with some other extensions of the theory. The results are discussed for the general case of dynamical systems and also for the specific Hamiltonian setting.
2 110 kr
Skickas inom 7-10 vardagar
This textbook is for mathematicians and mathematical physicists and is mainly concerned with the physical justification of both the mathematical framework and the foundations of the theory of general relativity. Previous knowledge of the relevant physics is not assumed. This book is also suitable as an introduction to pseudo-Riemannian geometry with emphasis on geometrical concepts. A significant part of the text is devoted to the discussion of causality and singularity theorems. The insights obtained are applied to black hole astrophysics, thereby making the connection to current active research in mathematical physics and cosmology.
Binding and Scattering in Two-Dimensional Systems
Applications to Quantum Wires, Waveguides and Photonic Crystals
Inbunden, Engelska, 1999
1 069 kr
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This monograph is accessible to anyone with an undergraduate background in quantum mechanics, electromagnetism and some solid state physics. It describes in detail the properties of particles and fields in quasi-two-dimensional systems used to approximate realistic quantum heterostructures. Here the authors treat wires, i.e. they assume an infinite hardwall potential for the system. They discuss bound states, the properties of transmission and reflection, conductance, etc. It is shown that the simple models developed in this book in detail are capable of understanding even complex physical phenomena. The methods are applied to optical states in photonic crystals, and similarities and differences between those and electronic states in quantum heterostructures and electromagnetic fields in waveguides are discussed.
1 584 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.
1 069 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.
1 069 kr
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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.
1 069 kr
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The motto of connectivity and superconductivity is that the solutions of the Ginzburg--Landau equations are qualitatively influenced by the topology of the boundaries, as in multiply-connected samples. Special attention is paid to the "zero set", the set of the positions (also known as "quantum vortices") where the order parameter vanishes. The effects considered here usually become important in the regime where the coherence length is of the order of the dimensions of the sample. It takes the intuition of physicists and the awareness of mathematicians to find these new effects. In Connectivity and Superconductivity, theoretical and experimental physicists are brought together with pure and applied mathematicians to review these surprising results. 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 Schrodinger equation as a limiting case of the Ginzburg--Landau equations.
Del 73 - Lecture Notes in Physics Monographs
Diffuse Interface Approach in Materials Science
Thermodynamic Concepts and Applications of Phase-Field Models
Häftad, Engelska, 2011
1 069 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.
1 584 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.
1 069 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.
Laser-Strophometry
High-Resolution Techniques for Velocity Gradient Measurements in Fluid Flows
Häftad, Engelska, 2011
1 069 kr
Skickas inom 10-15 vardagar
This book describes techniques that allow the measurement of arbitrary velocity gradient components in fluids with high spatial and temporal resolution, e.g. turbulent fluids. The techniques are based on the properties of scattered laser light. The book gives a detailed and rigorous treatment of the physical and mathematical background in a pedagogical presentation accessible to students in physics and engineering. From both the theoretical and experimental points of view, four different schemes are discussed in detail; the schemes differ in the way the velocity of the moving pattern of the scattered laser light is measured.
1 069 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
Häftad, Engelska, 2011
1 069 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.
1 387 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.
1 069 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.
1 069 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.
Self-consistent Quantum-Field Theory and Bosonization for Strongly Correlated Electron Systems
Häftad, Engelska, 2011
1 069 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.
1 069 kr
Skickas inom 10-15 vardagar
This book deals with the theory of Poincare--Birkhoff normal forms, studying symmetric systems in particular. Attention is focused on general Lie point symmetries, and not just on symmetries acting linearly. Some results on the simultaneous normalization of a vector field describing a dynamical system and vector fields describing its symmetry are presented and a perturbative approach is also used. Attention is given to the problem of convergence of the normalizing transformation in the presence of symmetry, with some other extensions of the theory. The results are discussed for the general case of dynamical systems and also for the specific Hamiltonian setting.