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Del 10 - ADVANCED SERIES IN MATHEMATICAL PHYSICS
YANG-BAXTER EQUATION IN INTEGRABLE SYSTEMS
AvMichio Jimbo,Michio Jimbo
Inbunden, Engelska, 1990
1 848 kr
Skickas inom 5-8 vardagar
This volume will be the first reference book devoted specially to the Yang-Baxter equation. The subject relates to broad areas including solvable models in statistical mechanics, factorized S matrices, quantum inverse scattering method, quantum groups, knot theory and conformal field theory. The articles assembled here cover major works from the pioneering papers to classical Yang-Baxter equation, its quantization, variety of solutions, constructions and recent generalizations to higher genus solutions.Sample Chapter(s)
Del 10 - ADVANCED SERIES IN MATHEMATICAL PHYSICS
YANG-BAXTER EQUATION IN INTEGRABLE SYSTEMS
AvMichio Jimbo,Michio Jimbo
Häftad, Engelska, 1990
987 kr
Skickas inom 5-8 vardagar
This volume will be the first reference book devoted specially to the Yang-Baxter equation. The subject relates to broad areas including solvable models in statistical mechanics, factorized S matrices, quantum inverse scattering method, quantum groups, knot theory and conformal field theory. The articles assembled here cover major works from the pioneering papers to classical Yang-Baxter equation, its quantization, variety of solutions, constructions and recent generalizations to higher genus solutions.Sample Chapter(s)
Del 13 - ADVANCED SERIES IN MATHEMATICAL PHYSICS
VARIATIONAL PRINCIPLES OF DYNAMICS, THE
AvBoris A Kupershmidt
Inbunden, Engelska, 1992
716 kr
Skickas inom 5-8 vardagar
Given a conservative dynamical system of classical physics, how does one find a variational principle for it? Is there a canonical recipe for such a principle? The case of particle mechanics was settled by Lagrange in 1788; this text treats continuous systems. Recipes devised are algebraic in nature, and this book develops all the mathematical tools found necessary after the minute examination of the adiabatic fluid dynamics in the introduction. These tools include: Lagrangian and Hamiltonian formalisms, Legendre transforms, dual spaces of Lie algebras and associated 2-cocycles; and linearized and Z2-graded versions of all of these. The following typical physical systems, together with their Hamiltonian structures, are discussed: Classical Magnetohydro-dynamics with its Hall deformation; Multifluid Plasma; Superfluid He-4 (both irrotational and rotating) and 3He-A; Quantum fluids; Yang-Mills MHD; Spinning fluids; Spin Glass; Extended YM Plasma; A Lattice Gas. Detailed motivations, easy-to-follow arguments, open problems, and over 300 exercises help the reader.
Del 15 - ADVANCED SERIES IN MATHEMATICAL PHYSICS
NON-PERTURBATIVE QUANTUM FIELD THEORY: MATHEMATICAL ASPECTS AND APPLICATIONS
AvJürg Fröhlich,Jurg Frohlich
Inbunden, Engelska, 1992
2 342 kr
Skickas inom 5-8 vardagar
Compiled to illustrate the recent history of Quantum Field Theory and its trends, this collection of selected reprints by Jürg Fröhlich, a leading theoretician in the field, is a comprehensive guide of the more mathematical aspects of the subject. Results and methods of the past fifteen years are reviewed. The analytical methods employed are non-perturbative and, for the larger part, mathematically rigorous. Most articles are review articles surveying certain important developments in quantum field theory and guiding the reader towards the original literature.The volume begins with a comprehensive introduction by Jürg Fröhlich.The theory of phase transitions and continuous symmetry breaking is reviewed in the first section. The second section discusses the non-perturbative quantization of topological solitons. The third section is devoted to the study of gauge fields. A paper on the triviality of λϖ4 — theory in four and more dimensions is found in the fourth section, while the fifth contains two articles on “random geometry”. The sixth and final part addresses topics in low-dimensional quantum field theory, including braid statistics, two-dimensional conformal field theory and an application to condensed matter theory.
Del 15 - ADVANCED SERIES IN MATHEMATICAL PHYSICS
NON-PERTURBATIVE QUANTUM FIELD THEORY: MATHEMATICAL ASPECTS AND APPLICATIONS
AvJürg Fröhlich,Jurg Frohlich
Häftad, Engelska, 1992
1 322 kr
Skickas inom 5-8 vardagar
Compiled to illustrate the recent history of Quantum Field Theory and its trends, this collection of selected reprints by Jürg Fröhlich, a leading theoretician in the field, is a comprehensive guide of the more mathematical aspects of the subject. Results and methods of the past fifteen years are reviewed. The analytical methods employed are non-perturbative and, for the larger part, mathematically rigorous. Most articles are review articles surveying certain important developments in quantum field theory and guiding the reader towards the original literature.The volume begins with a comprehensive introduction by Jürg Fröhlich.The theory of phase transitions and continuous symmetry breaking is reviewed in the first section. The second section discusses the non-perturbative quantization of topological solitons. The third section is devoted to the study of gauge fields. A paper on the triviality of λϖ4 — theory in four and more dimensions is found in the fourth section, while the fifth contains two articles on “random geometry”. The sixth and final part addresses topics in low-dimensional quantum field theory, including braid statistics, two-dimensional conformal field theory and an application to condensed matter theory.
Del 19 - ADVANCED SERIES IN MATHEMATICAL PHYSICS
UNDER THE SPELL OF THE GAUGE PRINCIPLE
AvG 't Hooft,Gerard 'T Hooft
Inbunden, Engelska, 1994
3 419 kr
Skickas inom 3-6 vardagar
Few people studying Gauge Field Theory need to be convinced of the importance of the work of 't Hooft. This volume contains a selection of articles and review topics covering his well-known studies on the renormalization of non-Abelian gauge theorems, topological phenomena in gauge field theory and thoughts on the role of black holes in quantum gravity.The chapters are tied together by thoughtful commentaries which provide a background and the illumination of hindsight — together they form a clear and coherent picture of the physical and theoretical importance of gauge theories and the gauge principle. This book is ideal for students and researchers.Gerard 't Hooft is Professor of Theoretical Physics at the University of Utrecht, The Netherlands. He has taught at Harvard, SLAC and Caltech prior to his present position. Other distinguished honors include being awarded the Dannie Heineman Prize, the Honorary Doctorate of Science from the University of Chicago, Wolf Prize of the State of Israel, Pius XI Medal (Vatican), and the Lorentz Medal (KNAW, Amsterdam).
Del 19 - ADVANCED SERIES IN MATHEMATICAL PHYSICS
UNDER THE SPELL OF THE GAUGE PRINCIPLE
AvG 't Hooft,Gerard 'T Hooft
Häftad, Engelska, 1994
653 kr
Skickas inom 5-8 vardagar
Few people studying Gauge Field Theory need to be convinced of the importance of the work of 't Hooft. This volume contains a selection of articles and review topics covering his well-known studies on the renormalization of non-Abelian gauge theorems, topological phenomena in gauge field theory and thoughts on the role of black holes in quantum gravity.The chapters are tied together by thoughtful commentaries which provide a background and the illumination of hindsight — together they form a clear and coherent picture of the physical and theoretical importance of gauge theories and the gauge principle. This book is ideal for students and researchers.Gerard 't Hooft is Professor of Theoretical Physics at the University of Utrecht, The Netherlands. He has taught at Harvard, SLAC and Caltech prior to his present position. Other distinguished honors include being awarded the Dannie Heineman Prize, the Honorary Doctorate of Science from the University of Chicago, Wolf Prize of the State of Israel, Pius XI Medal (Vatican), and the Lorentz Medal (KNAW, Amsterdam).
Del 17 - ADVANCED SERIES IN MATHEMATICAL PHYSICS
BRAID GROUP, KNOT THEORY AND STATISTICAL MECHANICS II
AvYANG C N,C N Yangm. fl.
Inbunden, Engelska, 1994
2 372 kr
Skickas inom 3-6 vardagar
The present volume is an updated version of the book edited by C N Yang and M L Ge on the topics of braid groups and knot theory, which are related to statistical mechanics. This book is based on the 1989 volume but has new material included and new contributors.
Del 18 - ADVANCED SERIES IN MATHEMATICAL PHYSICS
EXACTLY SOLVABLE MODELS OF STRONGLY CORRELATED ELECTRONS
AvKorepin Vladimir E,Vladimir E Korepinm. fl.
Inbunden, Engelska, 1994
2 505 kr
Skickas inom 3-6 vardagar
Systems of strongly correlated electrons are at the heart of recent developments in condensed matter theory. They have applications to phenomena like high-Tc superconductivity and the fractional quantum hall effect. Analytical solutions to such models, though mainly limited to one spatial dimension, provide a complete and unambiguous picture of the dynamics involved. This volume is devoted to such solutions obtained using the Bethe Ansatz, and concentrates on the most important of such models, the Hubbard model. The reprints are complemented by reviews at the start of each chapter and an extensive bibliography.
Del 21 - ADVANCED SERIES IN MATHEMATICAL PHYSICS
MULTIDIMENSIONAL HYPERGEOMETRIC FUNCTIONS THE REPRESENTATION THEORY OF LIE ALGEBRAS AND QUANTUM GROUPS
AvA Varchenko
Inbunden, Engelska, 1995
1 848 kr
Skickas inom 5-8 vardagar
This book recounts the connections between multidimensional hypergeometric functions and representation theory. In 1984, physicists Knizhnik and Zamolodchikov discovered a fundamental differential equation describing correlation functions in conformal field theory. The equation is defined in terms of a Lie algebra. Kohno and Drinfeld found that the monodromy of the differential equation is described in terms of the quantum group associated with the Lie algebra. It turns out that this phenomenon is the tip of the iceberg. The Knizhnik–Zamolodchikov differential equation is solved in multidimensional hypergeometric functions, and the hypergeometric functions yield the connection between the representation theories of Lie algebras and quantum groups. The topics presented in this book are not adequately covered in periodicals.
Del 25 - ADVANCED SERIES IN MATHEMATICAL PHYSICS
BASIC METHODS OF SOLITON THEORY
AvIvan Cherednik
Inbunden, Engelska, 1996
1 405 kr
Skickas inom 3-6 vardagar
In the 25 years of its existence Soliton Theory has drastically expanded our understanding of “integrability” and contributed a lot to the reunification of Mathematics and Physics in the range from deep algebraic geometry and modern representation theory to quantum field theory and optical transmission lines.The book is a systematic introduction to the Soliton Theory with an emphasis on its background and algebraic aspects. It is the first one devoted to the general matrix soliton equations, which are of great importance for the foundations and the applications.Differential algebra (local conservation laws, Bäcklund–Darboux transforms), algebraic geometry (theta and Baker functions), and the inverse scattering method (Riemann–Hilbert problem) with well-grounded preliminaries are applied to various equations including principal chiral fields, Heisenberg magnets, Sin–Gordon, and Nonlinear Schrödinger equation.
Del 13 - ADVANCED SERIES IN MATHEMATICAL PHYSICS
VARIATIONAL PRINCIPLES OF DYNAMICS, THE
AvBoris A Kupershmidt
Häftad, Engelska, 1992
669 kr
Skickas inom 5-8 vardagar
Given a conservative dynamical system of classical physics, how does one find a variational principle for it? Is there a canonical recipe for such a principle? The case of particle mechanics was settled by Lagrange in 1788; this text treats continuous systems. Recipes devised are algebraic in nature, and this book develops all the mathematical tools found necessary after the minute examination of the adiabatic fluid dynamics in the introduction. These tools include: Lagrangian and Hamiltonian formalisms, Legendre transforms, dual spaces of Lie algebras and associated 2-cocycles; and linearized and Z2-graded versions of all of these. The following typical physical systems, together with their Hamiltonian structures, are discussed: Classical Magnetohydro-dynamics with its Hall deformation; Multifluid Plasma; Superfluid He-4 (both irrotational and rotating) and 3He-A; Quantum fluids; Yang-Mills MHD; Spinning fluids; Spin Glass; Extended YM Plasma; A Lattice Gas. Detailed motivations, easy-to-follow arguments, open problems, and over 300 exercises help the reader.
Del 26 - ADVANCED SERIES IN MATHEMATICAL PHYSICS
SOLITON EQUATIONS AND HAMILTONIAN SYSTEMS (SECOND EDITION)
AvL A Dickey
Inbunden, Engelska, 2003
1 258 kr
Skickas inom 5-8 vardagar
The theory of soliton equations and integrable systems has developed rapidly during the last 30 years with numerous applications in mechanics and physics. For a long time, books in this field have not been written but the flood of papers was overwhelming: many hundreds, maybe thousands of them. All this output followed one single work by Gardner, Green, Kruskal, and Mizura on the Korteweg-de Vries equation (KdV), which had seemed to be merely an unassuming equation of mathematical physics describing waves in shallow water.Besides its obvious practical use, this theory is attractive also because it satisfies the aesthetic need in a beautiful formula which is so inherent to mathematics.The second edition is up-to-date and differs from the first one considerably. One third of the book (five chapters) is completely new and the rest is refreshed and edited.
Del 27 - ADVANCED SERIES IN MATHEMATICAL PHYSICS
INTRODUCTION TO THE MATHEMATICAL STRUCTURE OF QUANTUM MECHANICS, AN: A SHORT COURSE FOR MATHEMATICIANS
AvF Strocchi
Inbunden, Engelska, 2005
780 kr
Skickas inom 5-8 vardagar
This book arises out of the need for Quantum Mechanics (QM) to be part of the common education of mathematics students. Rather than starting from the Dirac–Von Neumann axioms, the book offers a short presentation of the mathematical structure of QM using the C–-algebraic structure of the observable based on the operational definition of measurements and the duality between states and observables. The description of states and observables as Hilbert space vectors and operators is then derived from the GNS and Gelfand-Naimark Theorems.For finite degrees of freedom, the Weyl algebra codifies the experimental limitations on the measurements of position and momentum (Heisenberg uncertainty relations) and Schroedinger QM follows from the von Neumann uniqueness theorem.The existence problem of the dynamics is related to the self-adjointness of the differential operator describing the Hamiltonian and solved by the Rellich–Kato theorems. Examples are discussed which include the explanation of the discreteness of the atomic spectra.Because of the increasing interest in the relation between QM and stochastic processes, a final chapter is devoted to the functional integral approach (Feynman–Kac formula), the formulation in terms of ground state correlations (Wightman functions) and their analytic continuation to imaginary time (Euclidean QM). The quantum particle on a circle as an example of the interplay between topology and functional integral is also discussed in detail.
Del 28 - ADVANCED SERIES IN MATHEMATICAL PHYSICS
INTRODUCTION TO THE MATHEMATICAL STRUCTURE OF QUANTUM MECHANICS, AN: A SHORT COURSE FOR MATHEMATICIANS (2ND EDITION)
AvF Strocchi
Inbunden, Engelska, 2008
987 kr
Skickas inom 5-8 vardagar
The second printing contains a critical discussion of Dirac derivation of canonical quantization, which is instead deduced from general geometric structures. This book arises out of the need for Quantum Mechanics (QM) to be part of the common education of mathematics students. The mathematical structure of QM is formulated in terms of the C*-algebra of observables, which is argued on the basis of the operational definition of measurements and the duality between states and observables, for a general physical system.The Dirac–von Neumann axioms are then derived. The description of states and observables as Hilbert space vectors and operators follows from the GNS and Gelfand–Naimark Theorems. The experimental existence of complementary observables for atomic systems is shown to imply the noncommutativity of the observable algebra, the distinctive feature of QM; for finite degrees of freedom, the Weyl algebra codifies the experimental complementarity of position and momentum (Heisenberg commutation relations) and Schrödinger QM follows from the von Neumann uniqueness theorem.The existence problem of the dynamics is related to the self-adjointness of the Hamiltonian and solved by the Kato–Rellich conditions on the potential, which also guarantee quantum stability for classically unbounded-below Hamiltonians. Examples are discussed which include the explanation of the discreteness of the atomic spectra.Because of the increasing interest in the relation between QM and stochastic processes, a final chapter is devoted to the functional integral approach (Feynman–Kac formula), to the formulation in terms of ground state correlations (the quantum mechanical analog of the Wightman functions) and their analytic continuation to imaginary time (Euclidean QM). The quantum particle on a circle is discussed in detail, as an example of the interplay between topology and functional integral, leading to the emergence of superselection rules and θ sectors.
Del 29 - ADVANCED SERIES IN MATHEMATICAL PHYSICS
BOMBAY LECTURES ON HIGHEST WEIGHT REPRESENTATIONS OF INFINITE DIMENSIONAL LIE ALGEBRAS (2ND EDITION)
AvVictor G Kac,Ashok K Rainam. fl.
Inbunden, Engelska, 2013
1 306 kr
Skickas inom 5-8 vardagar
The first edition of this book is a collection of a series of lectures given by Professor Victor Kac at the TIFR, Mumbai, India in December 1985 and January 1986. These lectures focus on the idea of a highest weight representation, which goes through four different incarnations.The first is the canonical commutation relations of the infinite dimensional Heisenberg Algebra (= oscillator algebra). The second is the highest weight representations of the Lie algebra gℓ∞ of infinite matrices, along with their applications to the theory of soliton equations, discovered by Sato and Date, Jimbo, Kashiwara and Miwa. The third is the unitary highest weight representations of the current (= affine Kac–Moody) algebras. These Lie algebras appear in the lectures in connection to the Sugawara construction, which is the main tool in the study of the fourth incarnation of the main idea, the theory of the highest weight representations of the Virasoro algebra. In particular, the book provides a complete proof of the Kac determinant formula, the key result in representation theory of the Virasoro algebra.The second edition of this book incorporates, as its first part, the largely unchanged text of the first edition, while its second part is the collection of lectures on vertex algebras, delivered by Professor Kac at the TIFR in January 2003. The basic idea of these lectures was to demonstrate how the key notions of the theory of vertex algebras — such as quantum fields, their normal ordered product and lambda-bracket, energy-momentum field and conformal weight, untwisted and twisted representations — simplify and clarify the constructions of the first edition of the book.This book should be very useful for both mathematicians and physicists. To mathematicians, it illustrates the interaction of the key ideas of the representation theory of infinite dimensional Lie algebras and of the theory of vertex algebras; and to physicists, these theories are turning into an important component of such domains of theoretical physics as soliton theory, conformal field theory, the theory of two-dimensional statistical models, and string theory.
Del 29 - ADVANCED SERIES IN MATHEMATICAL PHYSICS
BOMBAY LECTURES ON HIGHEST WEIGHT REPRESENTATIONS OF INFINITE DIMENSIONAL LIE ALGEBRAS (2ND EDITION)
AvVictor G Kac,Ashok K Rainam. fl.
Häftad, Engelska, 2013
520 kr
Skickas inom 5-8 vardagar
The first edition of this book is a collection of a series of lectures given by Professor Victor Kac at the TIFR, Mumbai, India in December 1985 and January 1986. These lectures focus on the idea of a highest weight representation, which goes through four different incarnations.The first is the canonical commutation relations of the infinite dimensional Heisenberg Algebra (= oscillator algebra). The second is the highest weight representations of the Lie algebra gℓ∞ of infinite matrices, along with their applications to the theory of soliton equations, discovered by Sato and Date, Jimbo, Kashiwara and Miwa. The third is the unitary highest weight representations of the current (= affine Kac–Moody) algebras. These Lie algebras appear in the lectures in connection to the Sugawara construction, which is the main tool in the study of the fourth incarnation of the main idea, the theory of the highest weight representations of the Virasoro algebra. In particular, the book provides a complete proof of the Kac determinant formula, the key result in representation theory of the Virasoro algebra.The second edition of this book incorporates, as its first part, the largely unchanged text of the first edition, while its second part is the collection of lectures on vertex algebras, delivered by Professor Kac at the TIFR in January 2003. The basic idea of these lectures was to demonstrate how the key notions of the theory of vertex algebras — such as quantum fields, their normal ordered product and lambda-bracket, energy-momentum field and conformal weight, untwisted and twisted representations — simplify and clarify the constructions of the first edition of the book.This book should be very useful for both mathematicians and physicists. To mathematicians, it illustrates the interaction of the key ideas of the representation theory of infinite dimensional Lie algebras and of the theory of vertex algebras; and to physicists, these theories are turning into an important component of such domains of theoretical physics as soliton theory, conformal field theory, the theory of two-dimensional statistical models, and string theory.
MATHEMATICAL RESULTS IN QUANTUM MECHANICS: INSIGHTS FROM QMATH15
AvFraas Martin,Martin Fraasm. fl.
Inbunden, Engelska, 2027
1 807 kr
Kommande
This volume presents cutting-edge research capturing foundational and innovative mathematical advances in quantum mechanics. Featuring expert contributions on semiclassical analysis, quantum spin systems, spectral theory, including quasi-periodic operators, quantum information, disordered systems, and other emerging topics, it offers comprehensive insights into modern quantum systems.Compiled from papers presented at the fifteenth QMATH conference held at UC Davis in September 2022, this collection originally appeared in Reviews in Mathematical Physics (Volume 36, Issue 09, October 2024). It is an essential resource for researchers, academics, and graduate students working in mathematical physics, quantum theory, and related interdisciplinary fields.
MATHEMATICAL ASPECTS OF STRING THEORY - PROCEEDINGS OF THE CONFERENCE ON MATHEMATICAL ASPECTS OF STRING THEORY
AvYau S-T,S-T Yau
Inbunden, Engelska, 1987
3 241 kr
Skickas inom 3-6 vardagar
Mathematical Aspects of String... (V1)
AvYau S-T,Shing-Tung Yau
Häftad, Engelska, 1987
2 502 kr
Skickas inom 5-8 vardagar
BOMBAY LECT HIGH WEIGHT REPRES INFIN DIMEN LIE ALGEB
AvA Raina,V Kac
Inbunden, Engelska, 1988
1 265 kr
Skickas inom 5-8 vardagar
This book is a collection of a series of lectures given by Prof. V Kac at Tata Institute, India in Dec '85 and Jan '86. These lectures focus on the idea of a highest weight representation, which goes through four different incarnations.
The first is the canonical commutation relations of the infinite-dimensional Heisenberg Algebra (= oscillator algebra). The second is the highest weight representations of the Lie algebra gl∞ of infinite matrices, along with their applications to the theory of soliton equations, discovered by Sato and Date, Jimbo, Kashiwara and Miwa. The third is the unitary highest weight representations of the current (= affine Kac-Moody) algebras. These algebras appear in the lectures twice, in the reduction theory of soliton equations (KP → KdV) and in the Sugawara construction as the main tool in the study of the fourth incarnation of the main idea, the theory of the highest weight representations of the Virasoro algebra.
This book should be very useful for both mathematicians and physicists. To mathematicians, it illustrates the interaction of the key ideas of the representation theory of infinite-dimensional Lie algebras; and to physicists, this theory is turning into an important component of such domains of theoretical physics as soliton theory, theory of two-dimensional statistical models, and string theory.
BOMBAY LECT HIGH WEIGHT REPRES INFIN DIMEN LIE ALGEB
AvA Raina,V Kac
Häftad, Engelska, 1988
748 kr
Skickas inom 5-8 vardagar
This book is a collection of a series of lectures given by Prof. V Kac at Tata Institute, India in Dec '85 and Jan '86. These lectures focus on the idea of a highest weight representation, which goes through four different incarnations.
The first is the canonical commutation relations of the infinite-dimensional Heisenberg Algebra (= oscillator algebra). The second is the highest weight representations of the Lie algebra gl∞ of infinite matrices, along with their applications to the theory of soliton equations, discovered by Sato and Date, Jimbo, Kashiwara and Miwa. The third is the unitary highest weight representations of the current (= affine Kac-Moody) algebras. These algebras appear in the lectures twice, in the reduction theory of soliton equations (KP → KdV) and in the Sugawara construction as the main tool in the study of the fourth incarnation of the main idea, the theory of the highest weight representations of the Virasoro algebra.
This book should be very useful for both mathematicians and physicists. To mathematicians, it illustrates the interaction of the key ideas of the representation theory of infinite-dimensional Lie algebras; and to physicists, this theory is turning into an important component of such domains of theoretical physics as soliton theory, theory of two-dimensional statistical models, and string theory.
Kac-Moody and Virasoro Algebras
AvGoddard P,D Olivem. fl.
Inbunden, Engelska, 1988
2 135 kr
Skickas inom 5-8 vardagar
“It is a nice to have a collection at hand taking together some of the main fundamental papers of a rapidly developing subject. ”
Mathematics Abstracts

This volume reviews the subject of Kac-Moody and Virasoro Algebras. It serves as a reference book for physicists with commentary notes and reprints.
Kac-Moody and Virasoro Algebras
AvGoddard P,D Olivem. fl.
Häftad, Engelska, 1988
1 003 kr
Skickas inom 5-8 vardagar
“It is a nice to have a collection at hand taking together some of the main fundamental papers of a rapidly developing subject. ”
Mathematics Abstracts

This volume reviews the subject of Kac-Moody and Virasoro Algebras. It serves as a reference book for physicists with commentary notes and reprints.
GEOMETRIC PHASES IN PHYSICS
AvWilczek F,A Shaperem. fl.
Inbunden, Engelska, 1989
1 403 kr
Skickas inom 5-8 vardagar
GEOMETRIC PHASES IN PHYSICS (V5)
AvWilczek F,A Shaperem. fl.
Häftad, Engelska, 1989
648 kr
Skickas inom 5-8 vardagar
During the last few years, considerable interest has been focused on the phase that waves accumulate when the equations governing the waves vary slowly. The recent flurry of activity was set off by a paper by Michael Berry, where it was found that the adiabatic evolution of energy eigenfunctions in quantum mechanics contains a phase of geometric origin (now known as ‘Berry's phase’) in addition to the usual dynamical phase derived from Schrödinger's equation. This observation, though basically elementary, seems to be quite profound. Phases with similar mathematical origins have been identified and found to be important in a startling variety of physical contexts, ranging from nuclear magnetic resonance and low-Reynolds number hydrodynamics to quantum field theory. This volume is a collection of original papers and reprints, with commentary, on the subject.
INTRODUCTION TO STRING FIELD THEORY (V8)
AvW Siegel
Inbunden, Engelska, 1988
876 kr
Skickas inom 5-8 vardagar
“For anyone interested in the rapidly developing field of string theory (graduate students with the proper physics background), Siegel's book is a particularly good introduction.”>/p>
Choice, USA
“Siegel has played a major role in the application of BRST formalisms for quantization to string theory … Siegel's book is of great interest for those who intend to do research in string field theory.”
Foundations of Physics, USA

This volume covers the most up-to-date findings on string field theory. It is presented in a new approach as a result of insights gained from the theory. This includes the use of a universal method for treating free field theories, which allows the derivation of a single, simple, free, local, Poincare-invariant, gauge-invariant action that can be applied directly to any fields.
INTRODUCTION TO STRING FIELD THEORY (V8)
AvW Siegel
Häftad, Engelska, 1988
525 kr
Skickas inom 5-8 vardagar
“For anyone interested in the rapidly developing field of string theory (graduate students with the proper physics background), Siegel's book is a particularly good introduction.”>/p>
Choice, USA
“Siegel has played a major role in the application of BRST formalisms for quantization to string theory … Siegel's book is of great interest for those who intend to do research in string field theory.”
Foundations of Physics, USA

This volume covers the most up-to-date findings on string field theory. It is presented in a new approach as a result of insights gained from the theory. This includes the use of a universal method for treating free field theories, which allows the derivation of a single, simple, free, local, Poincare-invariant, gauge-invariant action that can be applied directly to any fields.
BRAID GROUP, KNOT THEORY &... (V9)
AvYang C N,C N Yangm. fl.
Inbunden, Engelska, 1989
1 848 kr
Skickas inom 5-8 vardagar
"The first volume might be especially useful for specialists in its subject, but it also contains good expositions for nonspecialists."
Acta Sci. Math. (Szeged)
Contents: Notes on Subfactors and Statistical Mechanics (V F R Jones); Polynomial Invariants in Knot Theory (L H Kauffman); Algebras of Loops on Surfaces, Algebras of Knots, and Quantization (V G Turaev); Quantum Groups (L Faddeev et al.); Introduction to the Yang-Baxter Equation (M Jimbo); Integrable Systems Related to Braid Groups and Yang-Baxter Equation (T Kohno); The Yang-Baxter Relation: A New Tool for Knot Theory (Y Akutsu et al.); Akutsu-Wadati Link Polynomials from Feynman-Kauffman Diagrams (M-L Ge et al.); Quantum Field Theory and the Jones Polynomial (E Witten)
BRAID GROUP, KNOT THEORY &... (V9)
AvYang C N,C N Yangm. fl.
Häftad, Engelska, 1989
684 kr
Skickas inom 5-8 vardagar
"The first volume might be especially useful for specialists in its subject, but it also contains good expositions for nonspecialists."
Acta Sci. Math. (Szeged)
Contents: Notes on Subfactors and Statistical Mechanics (V F R Jones); Polynomial Invariants in Knot Theory (L H Kauffman); Algebras of Loops on Surfaces, Algebras of Knots, and Quantization (V G Turaev); Quantum Groups (L Faddeev et al.); Introduction to the Yang-Baxter Equation (M Jimbo); Integrable Systems Related to Braid Groups and Yang-Baxter Equation (T Kohno); The Yang-Baxter Relation: A New Tool for Knot Theory (Y Akutsu et al.); Akutsu-Wadati Link Polynomials from Feynman-Kauffman Diagrams (M-L Ge et al.); Quantum Field Theory and the Jones Polynomial (E Witten)

ADVANCED SERIES IN MATHEMATICAL PHYSICS – serie

YANG-BAXTER EQUATION IN INTEGRABLE SYSTEMS

YANG-BAXTER EQUATION IN INTEGRABLE SYSTEMS

VARIATIONAL PRINCIPLES OF DYNAMICS, THE

NON-PERTURBATIVE QUANTUM FIELD THEORY: MATHEMATICAL ASPECTS AND APPLICATIONS

NON-PERTURBATIVE QUANTUM FIELD THEORY: MATHEMATICAL ASPECTS AND APPLICATIONS

UNDER THE SPELL OF THE GAUGE PRINCIPLE

UNDER THE SPELL OF THE GAUGE PRINCIPLE

BRAID GROUP, KNOT THEORY AND STATISTICAL MECHANICS II

EXACTLY SOLVABLE MODELS OF STRONGLY CORRELATED ELECTRONS

MULTIDIMENSIONAL HYPERGEOMETRIC FUNCTIONS THE REPRESENTATION THEORY OF LIE ALGEBRAS AND QUANTUM GROUPS

BASIC METHODS OF SOLITON THEORY

VARIATIONAL PRINCIPLES OF DYNAMICS, THE

SOLITON EQUATIONS AND HAMILTONIAN SYSTEMS (SECOND EDITION)

INTRODUCTION TO THE MATHEMATICAL STRUCTURE OF QUANTUM MECHANICS, AN: A SHORT COURSE FOR MATHEMATICIANS

INTRODUCTION TO THE MATHEMATICAL STRUCTURE OF QUANTUM MECHANICS, AN: A SHORT COURSE FOR MATHEMATICIANS (2ND EDITION)

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