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Supersymmetry and Integrable Models: Proceedings of a Workshop Held at Chicago, IL, 12-14 June, 1997

Overview

This book combines supersymmetry modelling in quantum mechanics and integrable models in a unique way. It addresses researchers as well as graduate students. Along with articles that present new technical results, the reader will also find pedagogically written reviews. Recent applications of supersymmetric integrable models are also given.

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Overview

This book combines supersymmetry modelling in quantum mechanics and integrable models in a unique way. It addresses researchers as well as graduate students. Along with articles that present new technical results, the reader will also find pedagogically written reviews. Recent applications of supersymmetric integrable models are also given.

Read More Show Less

Product Details

Table of Contents

Constrained KP Hierarchy as a Ratio of Differential Operators 3
Infinite Dimensional Symmetries in Massive Integrable Models 19
On the Whitham Equations and (X, [psi]) Duality 33
Poisson Brackets for Densities of Functionals 57
Hamiltonian Dynamics, Classical R-Matrices and Isomonodromic Deformations 63
Integrable Systems with Singular Rational Spectral Varieties 77
Lectures on the Asymptotic Expansion of a Hermitian Matrix Integral 91
Solitons and Generalized Tau-Functions for Affine Integrable Hierarchies 135
Constrained and Rational Reductions of the KP Hierarchy 167
Matrix Membranes and Integrability 183
Vertex Operators and Solitons of Constrained KP Hierarchies 197
Zero Curvature Formalism in Superspace 213
N=2 KdV Hierarchies and Classical [tau]-Matrix 241
Reduction of Self-Dual Yang-Mills Systems and Super Nonlinear Schrodinger Equations 257
Darboux Transformations for SUSY Integrable Systems 269
Susy Hierarchies and Affine Lie Algebras 283
A Semiclassical Approach to Level Crossing in Supersymmetric Quantum Mechanics 297
One-Dimensional Disordered Supersymmetric Quantum Mechanics: A Brief Survey 313
Zero Modes and Self-Isospectral Potentials in Periodic Supersymmetric Quantum Mechanics 329
Shape Invariance and Its Connection to Potential Algebra 341
Supersymmetry in Quantum Mechanical Models: a Quantum Hamilton-Jacobi Approach 351
Quantum-Mechanical Supersymmetry in Traps 361
Cyclic Shape Invariant Potentials 369
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