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.
Part I: Integrable Models 3(210) Constrained KP Hierarchy as a Ratio of Differential Operators 3(16) H. Aratyn Infinite Dimensional Symmetries in Massive Integrable Models 19(14) H. Awata On the Whitham Equations and (X, Psi) Duality 33(24) R. Carroll Poisson Brackets for Densities of Functionals 57(6) L.A. Dickey Hamiltonian Dynamics, Classical R-Matrices and Isomonodromic Deformations 63(14) J. Harnad Integrable Systems with Singular Rational Spectral Varieties 77(14) A. Kasman Lectures on the Asymptotic Expansion of a Hermitian Matrix Integral 91(44) M. Mulase Solitons and Generalized Tau-Functions for Affine Integrable Hierarchies 135(32) L.A. Ferreira J. Sanchez Guillen Constrained and Rational Reductions of the KP Hierarchy 167(16) G. Helminck J. van de Leur Matrix Membranes and Integrability 183(14) C. Zachos D. Fairlie T. Curtright Vertex Operators and Solitons of Constrained KP Hierarchies 197(16) H. Aratyn L.A. Ferreira J.F. Gomes A.H. Zimerman Part II: Supersymmetric Integrable Models 213(84) Zero Curvature Formalism in Superspace 213(28) H. Aratyn A. Das C. Rasinariu A.H. Zimerman N=2 KdV Hierarchies and Classical Rho-Matrix 241(16) L. Gallot Reduction of Self-Dual Yang-Mills Systems and Super Nonlinear Schrodinger Equations 257(12) M. Legare Darboux Transformations for SUSY Integrable Systems 269(14) Q.P. Liu M. Manas Susy Hierarchies and Affine Lie Algebras 283(14) F. Toppan Part III: Supersymmetric Quantum Mechanics 297 A Semiclassical Approach to Level Crossing in Supersymmetric Quantum Mechanics 297(16) J.F. Beacom A.B. Balantekin One-Dimensional Disordered Supersymmetric Quantum Mechanics: A Brief Survey 313(16) A. Comtet C. Texier Zero Modes and Self-Isospectral Potentials in Periodic Supersymmetric Quantum Mechanics 329(12) J. Feinberg G. Dunne Shape Invariance and Its Connection to Potential Algebra 341(10) A. Gangopadhyaya J.V. Marlow U.P. Sukhatme Supersymmetry in Quantum Mechanical Models: a Quantum Hamilton-Jacobi Approach 351(10) R.S. Bhalla A.K. Kapoor P.K. Panigrahi Quantum-Mechanical Supersymmetry in Traps 361(8) V.A. Kostelecky N. Russell Cyclic Shape Invariant Potentials 369 U. Sukhatme C. Rasinariu A. Khare A. Gangopadhyaya
