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Supersymmetry In Quantum and Classical Mechanics: Monographs and Surveys in Pure and Applied Mathematics

Autor Bijan Kumar Bagchi
en Limba Engleză Paperback – 5 sep 2019
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.
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Specificații

ISBN-13: 9780367398125
ISBN-10: 0367398125
Pagini: 240
Dimensiuni: 156 x 234 x 15 mm
Greutate: 0.34 kg
Ediția:1
Editura: CRC Press
Colecția Chapman and Hall/CRC
Seria Monographs and Surveys in Pure and Applied Mathematics


Cuprins

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.

Descriere

In recent years, progress in the field of SCQM (supersymmetric classical and quantum mechanics) has been dramatic and the literature continues to grow. This monograph offers an overview of the field and summarizes the major developments of the last 15 years. It provides both a 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.