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Non-Perturbative Quantum Field Theory: Mathematical Aspects And Applications

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Non-Perturbative Quantum Field Theory: Mathematical Aspects And Applications

197,37€ + 10% CARD

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 Compiled to illustrate the recent history of quantum field theory and its trends, this collection of selected reprints by Frohlich aims to be a comprehensive guide to the more mathematical aspects of the subject. Results and methods of the past 15 years are reviewed.
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Introduction To The Mathematical Structure Of Quantum Mechanics, An: A Short Course For Mathematicians

by Franco (Infn, Sezione Di Pisa, Italy) Strocchi

64,89€ + 10% CARD

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 Rather than starting from the Dirac-Von Neumann axioms, this book offers a short presentation of the mathematical structure of Quantum Mechanics using the C*-algebraic structure of the observable based on the operational definition of measurements and the duality between states and observables.
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Harmonic Mappings, Twistors And Sigma Models

38,43€ + 10% CARD

 Harmonic mappings have played in recent years and will likely to play in the future an important role in Differential Geometry and Theoretical Physics, where they are known as s-models. These Proceedings develop both aspects of the theory, with a special attention to the constructive methods, in particular the so-called twistorial approach. It includes expository articles on the twistorial methods, the various appearence of -models in Physics, the powerful analytic theory of regularity of SCHOEN-UHLENBECK.
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Multidimensional Hypergeometric Functions The Representation Theory Of Lie Algebras And Quantum Groups

by Varchenko Alexander Varchenko

60,95€ + 10% CARD

 A review of the connections between multidimensional hypergeometric functions and representation theory illustrated by the solution of the Knizhnik-Zamolodchikov differential equation.
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W-Symmetry

99,38€ + 10% CARD

 W-symmetry is an extension of conformal symmetry in two dimensions. Since 1985, W-symmetry has become one of the central notions in the study of two-dimensional conformal field theory. This book contains a collection of papers on W-symmetry, covering the period from 1985 through 1992.
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State Of Matter: A Volume Dedicated To E H Lieb

76,85€ + 10% CARD

 Providing a view of research in a broad area of mathematical physics, this volume presents a collection of works by leading figures in the field. It celebrates Elliot H. Lieb's contribution to the subject and offers a glimpse into the life and work-style of Lieb and some of his contemporaries.
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Exactly Solvable Models Of Strongly Correlated Electrons

60,95€ + 10% CARD

 This volume is devoted to exact solutions of models of strongly correlated electrons in one spatial dimension by means of the Bethe Ansatz. Models examined include: the one-dimensional Hubbard model; the supersymmetric t-J model; and other models of strongly correlated electrons.
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Braid Group, Knot Theory And Statistical Mechanics Ii

45,05€ + 10% CARD

 Dealing with the topics of braid groups and knot theory which are related to statistical mechanics, this updated edition is based upon the 1989 version. It contains new materials and new contributors.
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Under The Spell Of The Gauge Principle

42,40€ + 10% CARD

 A collection of articles and review papers by the author on various subjects in quantum field theory, gauge field theory and quantum gravity. The book includes a description of fundamental extended objects such as monopoles and instantons, both aspects of quantum chromodynamics.
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Variational Principles Of Dynamics, The

by Kuperschmidt Boris A Kuperschmidt

42,40€ + 10% CARD

 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.
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Soliton Equations And Hamiltonian Systems

by Dickey Leonid A Dickey

34,45€ + 10% CARD

 The theory of soliton equations and integrable systems has developed rapidly during the last 20 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 followed one single work by Gardner, Greene, Kruskal, and Miura about the Korteweg-de Vries equation (KdV) which, had seemed to be merely an unassuming equation of mathematical physics describing waves in shallow water.This branch of science is attractive because it is one of those which revives the interest in the basic principles of mathematics, a beautiful formula.
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Introduction To The Mathematical Structure Of Quantum Mechanics, An: A Short Course For Mathematicians

by Strocchi Franco Strocchi

25,18€ + 10% CARD

 Rather than starting from the Dirac-Von Neumann axioms, this book offers a short presentation of the mathematical structure of Quantum Mechanics using the C*-algebraic structure of the observable based on the operational definition of measurements and the duality between states and observables.
ENGLISH

Introduction To The Mathematical Structure Of Quantum Mechanics, An: A Short Course For Mathematicians (2nd Edition)

by Strocchi Franco Strocchi

31,80€ + 10% CARD

 Arising out of the need for Quantum Mechanics (QM) to be part of the common education of mathematics students, this book formulates the mathematical structure of QM 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.
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Soliton Equations And Hamiltonian Systems (Second Edition)

by Dickey Leonid A Dickey

41,08€ + 10% CARD

 The theory of soliton equations and integrable systems has developed rapidly with numerous applications in mechanics and physics. This study explores this branch of science, and seeks to revive an interest in the basic principles of mathematics.
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Quantum Topology And Global Anomalies

by Baadhio Randy A Baadhio e Thorman Michael P Thorman

42,40€ + 10% CARD

 A discussion of various issues associated to three-dimensional physics, the Chern-Simons-Witten theories aim to widen the scope of this text. Topics include anomalies and the Atiyah-Patodi-Singer Index theorem, exotic spheres, and the geometric quantization of Chern-Simons-Witten theories.
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Basic Methods Of Soliton Theory

by Cherednik Ivan V Cherednik

43,73€ + 10% CARD

 This text is an introduction to the mathematical soliton theory with an emphasis on algebraic aspects. It includes an exposition of its background, the recent developments and concrete methods for the equations important to physics.
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Infinite Analysis: Rims Project 1991 (In 2 Volumes)

347,15€ + 10% CARD

 This is a collection of original research and expository papers presented at the workshop. The main topics covered are conformal field theory, quantum group, lattice solvable models, low dimensional topology, and C* algebras.
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Highest Weight Representations Of Infinite Dimensional Lie Algebra

by Kac Victor G Kac e Raina Ashok K Raina

49,03€ + 10% CARD

 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.
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Kac-Moody And Virasoro Algebras: A Reprint Volume For Physicists

66,25€ + 10% CARD

 This volume reviews the subject of Kac-Moody and Virasoro Algebras. It serves as a reference book for physicists with commentary notes and reprints.
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Geometric Phases In Physics

42,40€ + 10% CARD

 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.
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Introduction To String Field Theory

by Siegel Warren Siegel

33,13€ + 10% CARD

 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.
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Yang-Baxter Equation In Integrable Systems

by Jimbo Michio Jimbo

64,93€ + 10% CARD

 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.</a>
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New Developments In The Theory Of Knots

by Kohno Toshitake Kohno

87,45€ + 10% CARD

 This reprint volume focuses on recent developments in knot theory arising from mathematical physics, especially solvable lattice models, Yang-Baxter equation, quantum group and two dimensional conformal field theory. This volume is helpful to topologists and mathematical physicists because existing articles are scattered in journals of many different domains including Mathematics and Physics. This volume will give an excellent perspective on these new developments in Topology inspired by mathematical physics.
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Form Factors In Completely Integrable Models Of Quantum Field Theory

by Smirnov F A Smirnov

67,58€ + 10% CARD

 The monograph summarizes recent achievements in the calculation of matrix elements of local operators (form factors) for completely integrable models. In particular, it deals with sine-Gordon, chiral Gross-Neven and O(3) nonlinear s models.
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