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Hardcover ISBN:  9780821804254 
Product Code:  TRANS2/177 
List Price:  $175.00 
MAA Member Price:  $157.50 
AMS Member Price:  $140.00 
eBook ISBN:  9781470433888 
Product Code:  TRANS2/177.E 
List Price:  $165.00 
MAA Member Price:  $148.50 
AMS Member Price:  $132.00 
Hardcover ISBN:  9780821804254 
eBook ISBN:  9781470433888 
Product Code:  TRANS2/177.B 
List Price:  $340.00 $257.50 
MAA Member Price:  $306.00 $231.75 
AMS Member Price:  $272.00 $206.00 

Book DetailsAmerican Mathematical Society Translations  Series 2Advances in the Mathematical SciencesVolume: 177; 1996; 223 ppMSC: Primary 81; 82; 83; Secondary 47
This is the second of two volumes dedicated to the scientific heritage of F. A. Berezin (1931–1980). Before his untimely death, Berezin had an important influence on physics and mathematics, discovering new ideas in mathematical physics, representation theory, analysis, geometry, and other areas of mathematics. His crowning achievements were the introduction of a new notion of deformation quantization and Grassmannian analysis (“supermathematics”).
Collected here are papers by many of his colleagues and others who worked in related areas, representing a wide spectrum of topics in statistical and theoretical physics and allied areas of mathematics. In particular, several papers discuss various aspects of quantum field theory and related questions of supersymmetry, geometry, and representation theory. Other papers are devoted to problems of quasiclassical approximation and mathematical models of statistical physics.
ReadershipGraduate students and research mathematicians specializing in mathematical problems related to quantum field theory and statistical physics, including related problems of geometry, differential equations, and representation theory.

Table of Contents

Chapters

D. BarMoshe and M. S. Marinov — Berezin quantization and unitary representations of Lie groups

I. A. Batalin and I. V. Tyutin — Generalized fieldantifield formalism

A. M. Budylin and V. S. Buslaev — Semiclassical integral equations on the semiaxis

Ch. Devchand and V. Ogievetsky — Integrability of $N = 3$ super YangMills equations

R. L. Dobrushin — Estimates of semiinvariants for the Ising model at low temperatures

Dmitri M. Gitman — Pseudoclassical theory of a relativistic spinning particle

Renata Kallosh — Dual waves

V. P. Maslov and O. Yu. Shvedov — Geometric quantization in the Fock space

R. Minlos and H. Spohn — The threebody problem in radioactive decay: The case of one atom and at most two photons

M. I. Monastyrsky and S. M. Natanzon — The moduli space of instantons in $N = 2$ supersymmetrical $\sigma $models

Albert Schwarz — Superanalogs of symplectic and contact geometry and their applications to quantum field theory

Ya. G. Sinai and H. Spohn — Remarks on the delocalization transition for heteropolymers


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This is the second of two volumes dedicated to the scientific heritage of F. A. Berezin (1931–1980). Before his untimely death, Berezin had an important influence on physics and mathematics, discovering new ideas in mathematical physics, representation theory, analysis, geometry, and other areas of mathematics. His crowning achievements were the introduction of a new notion of deformation quantization and Grassmannian analysis (“supermathematics”).
Collected here are papers by many of his colleagues and others who worked in related areas, representing a wide spectrum of topics in statistical and theoretical physics and allied areas of mathematics. In particular, several papers discuss various aspects of quantum field theory and related questions of supersymmetry, geometry, and representation theory. Other papers are devoted to problems of quasiclassical approximation and mathematical models of statistical physics.
Graduate students and research mathematicians specializing in mathematical problems related to quantum field theory and statistical physics, including related problems of geometry, differential equations, and representation theory.

Chapters

D. BarMoshe and M. S. Marinov — Berezin quantization and unitary representations of Lie groups

I. A. Batalin and I. V. Tyutin — Generalized fieldantifield formalism

A. M. Budylin and V. S. Buslaev — Semiclassical integral equations on the semiaxis

Ch. Devchand and V. Ogievetsky — Integrability of $N = 3$ super YangMills equations

R. L. Dobrushin — Estimates of semiinvariants for the Ising model at low temperatures

Dmitri M. Gitman — Pseudoclassical theory of a relativistic spinning particle

Renata Kallosh — Dual waves

V. P. Maslov and O. Yu. Shvedov — Geometric quantization in the Fock space

R. Minlos and H. Spohn — The threebody problem in radioactive decay: The case of one atom and at most two photons

M. I. Monastyrsky and S. M. Natanzon — The moduli space of instantons in $N = 2$ supersymmetrical $\sigma $models

Albert Schwarz — Superanalogs of symplectic and contact geometry and their applications to quantum field theory

Ya. G. Sinai and H. Spohn — Remarks on the delocalization transition for heteropolymers