Supersymmetry In Quantum and Classical Mechanics

Bijan Kumar Bagchi

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English

Chapman & Hall/CRC
05 September 2019

Series: Monographs and Surveys in Pure and Applied Mathematics

Following Witten's remarkable discovery of the quantum mechanical scheme in which all the salient features of supersymmetry are embedded, SCQM (supersymmetric classical and quantum mechanics) has become a separate area of research . In recent years, progress in this field has been dramatic and the literature continues to grow. Until now, no book has offered an overview of the subject with enough detail to allow readers to become rapidly familiar with its key ideas and methods.

Supersymmetry in Classical and Quantum Mechanics offers that overview and summarizes the major developments of the last 15 years. It provides both an up-to-date review of the literature and a detailed exposition of the underlying SCQM principles. For those just beginning in the field, the author presents step-by-step details of most of the computations. For more experienced readers, the treatment includes systematic analyses of more advanced topics, such as quasi- and conditional solvability and the role of supersymmetry in nonlinear systems.

By: Bijan Kumar Bagchi
Imprint: Chapman & Hall/CRC
Country of Publication: United Kingdom
Dimensions: Height: 234mm, Width: 156mm,
Weight: 340g
ISBN: 9780367398125
ISBN 10: 0367398125
Series: Monographs and Surveys in Pure and Applied Mathematics
Pages: 240
Publication Date: 05 September 2019
Audience: College/higher education , General/trade , Primary , ELT Advanced
Format: Paperback
Publisher's Status: Active

General Remarks on Supersymmetry. Basic Principles of Supersymmetric Quantum Mechanics. Supersymmetric Classical Mechanics. SUSY breaking, Witten Index and Index condition. Factorization Method, Shape Invariance and Generation of Solvable Potentials. Radial Problems and Spin-orbit Coupling. Supersymmetry in Nonlinear Systems. Parasupersymmetry. Appendix A. Subject Index.

Bagchi, Bijan Kumar

Reviews for Supersymmetry In Quantum and Classical Mechanics

"""This interesting and instructive monograph partially fills the gap in the literature concerning the subject of quantization of supersymmetric systems in general. It gives a brief account of many major developments of non-relativistic supersymmetric quantum mechanics (SSQM) in the last fifteen years."" - Mathematical Reviews, November 2001"