Bagchi B. Supersymmetry in quantum and classical mechanics

Chapman & Hall/CRC, 2001. — 224 p.This monograph summarizes the major developments that have taken place in supersymmetric quantum and classical mechanics over the past 15 years or so. Following Witten’s construction of a quantum mechanical scheme in which all the key ingredients of supersymmetry are present, supersymmetric quantum mechanics has become a discipline of research in its own right. Indeed a glance at the literature on this subject will reveal that the progress has been dramatic. The purpose of this book is to set out the basic methods of supersymmetric quantum mechanics in a manner that will give the reader a reasonable understanding of the subject and its applications. We have also tried to give an up-to-date account of the latest trends in this field. The book is written for students majoring in mathematical science and practitioners of applied mathematics and theoretical physics.General remarks on supersymmmetry
Basic princliples on SUSY QM
Supersymmetric classical mechanics
SUSY breaking, Witten index, and index condition
Factorization method, shape invariance
Radial problems and spin-orbit coupling
Supersymmetry in nonlinear systems
Parasupersymmetry