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Softcover ISBN:  9780821820063 
Product Code:  AMSIP/13 
List Price:  $89.00 
MAA Member Price:  $80.10 
AMS Member Price:  $71.20 
eBook ISBN:  9781470438043 
Product Code:  AMSIP/13.E 
List Price:  $83.00 
MAA Member Price:  $74.70 
AMS Member Price:  $66.40 
Softcover ISBN:  9780821820063 
eBook ISBN:  9781470438043 
Product Code:  AMSIP/13.B 
List Price:  $172.00 $130.50 
MAA Member Price:  $154.80 $117.45 
AMS Member Price:  $137.60 $104.40 

Book DetailsAMS/IP Studies in Advanced MathematicsVolume: 13; 1999; 528 ppMSC: Primary 81; 83
This volume presents the proceedings of the conference on “Trends in Mathematical Physics” held at the University of Tennessee. The conference drew international experts from mathematical and computational physics. The following topics were addressed: superstrings and quantum gravity, pattern formation, and crystallographic topology. The cuttingedge research reflected in the extensive surveys in the book are written for a diverse audience.
Titles in this series are copublished with International Press of Boston, Inc., Cambridge, MA.
ReadershipGraduate students, research mathematicians, and physicists interested in quantum theory.

Table of Contents

Chapters

Berry’s connection in a quantum relativistic description of the curved space analogue of development

Heatkernel asymptotics of the GilkeySmith boundaryvalue problem

On ellipticity and gauge invariance in Euclidean quantum gravity

Undercompressive waves in driven thin film flow: Theory, computation, and experiment

Internal time peculiarities as a cause of bifurcations arising in classical trajectory problem and quantum chaos creation in threebody systems

Random motion of quantum harmonic oscillatorThermodynamics of nonrelativistic vacuum

A new formulation of Lax pairs for generalized CalogeroMoser models

Fourpoint correlation functions in the AdS/CFT correspondence

Gravitational instantons and moduli spaces

Superdualities and twisted selfduality

Boomerons in field theory

A layman’s guide to $M$theory

Family symmetry, the anomalous $U(1)$, and neutrino mixing

Stochastic quantization approach to $c \leq 1$ openclosed string field theories

Gauge invariance and effective actions at finite temperature

Superconformal deformations and spacetime symmetries

Nonlinear patterns in microstructures

Nonthermalizability of a quantum field theory

Field theory for chemical spaces

From functions to matrices

Duality and construction of quantum integrable systems

Geometric concepts for the mass in general relativity

Crystallographic topology 2: Overview and work in progress

Gravitationally dressed RG flows, zigzag symmetry and zerotension strings

Einstein metrics and the Yamabe problem

Numerical evolution in time of curvature perturbations in Kerr black holes

Nonlinearity and selfsimilarity: Wavelets and compactons on a physical background

On analytic approach to perturbative quantum chromodynamics

Lattice gauge theory

Integrable models with boundary

Mathematical aspects of chiral gauge theories on the lattice

The statistical entropy of black holes and the $AdS_3$ geometry

Canonical treatment of regular Lagrangians with holonomic constraints as singular systems

Algebraic shape invariant models

Molecular configurations and Euclidean distance matrices

Derivative expansion of the oneloop effective action in QED

Nonlinear generalizations of a 3manifold’s Dirac operator

Dynamical symmetry approach to quantum manybody problems


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This volume presents the proceedings of the conference on “Trends in Mathematical Physics” held at the University of Tennessee. The conference drew international experts from mathematical and computational physics. The following topics were addressed: superstrings and quantum gravity, pattern formation, and crystallographic topology. The cuttingedge research reflected in the extensive surveys in the book are written for a diverse audience.
Titles in this series are copublished with International Press of Boston, Inc., Cambridge, MA.
Graduate students, research mathematicians, and physicists interested in quantum theory.

Chapters

Berry’s connection in a quantum relativistic description of the curved space analogue of development

Heatkernel asymptotics of the GilkeySmith boundaryvalue problem

On ellipticity and gauge invariance in Euclidean quantum gravity

Undercompressive waves in driven thin film flow: Theory, computation, and experiment

Internal time peculiarities as a cause of bifurcations arising in classical trajectory problem and quantum chaos creation in threebody systems

Random motion of quantum harmonic oscillatorThermodynamics of nonrelativistic vacuum

A new formulation of Lax pairs for generalized CalogeroMoser models

Fourpoint correlation functions in the AdS/CFT correspondence

Gravitational instantons and moduli spaces

Superdualities and twisted selfduality

Boomerons in field theory

A layman’s guide to $M$theory

Family symmetry, the anomalous $U(1)$, and neutrino mixing

Stochastic quantization approach to $c \leq 1$ openclosed string field theories

Gauge invariance and effective actions at finite temperature

Superconformal deformations and spacetime symmetries

Nonlinear patterns in microstructures

Nonthermalizability of a quantum field theory

Field theory for chemical spaces

From functions to matrices

Duality and construction of quantum integrable systems

Geometric concepts for the mass in general relativity

Crystallographic topology 2: Overview and work in progress

Gravitationally dressed RG flows, zigzag symmetry and zerotension strings

Einstein metrics and the Yamabe problem

Numerical evolution in time of curvature perturbations in Kerr black holes

Nonlinearity and selfsimilarity: Wavelets and compactons on a physical background

On analytic approach to perturbative quantum chromodynamics

Lattice gauge theory

Integrable models with boundary

Mathematical aspects of chiral gauge theories on the lattice

The statistical entropy of black holes and the $AdS_3$ geometry

Canonical treatment of regular Lagrangians with holonomic constraints as singular systems

Algebraic shape invariant models

Molecular configurations and Euclidean distance matrices

Derivative expansion of the oneloop effective action in QED

Nonlinear generalizations of a 3manifold’s Dirac operator

Dynamical symmetry approach to quantum manybody problems