Supersymmetric Quantum Mechanics

We have written this book in order to provide a single compact source for undergraduate and graduate students, as well as for professional physicists who want to understand the essentials of supersymmetric quantum mechanics. It is an outgrowth of a seminar course taught to physics and mathematics juniors and seniors at Loyola University Chicago, and of our own research over a quarter of a century.

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Contents: IntroductionQuantum Mechanics and Clues to SUSYQMOperator Formalism in Quantum MechanicsSupersymmetric Quantum MechanicsShape InvarianceSupersymmetry and Its BreakingPotential AlgebraSpecial Functions and SUSYQMIsospectral DeformationsGenerating Additive Shape Invariant PotentialsSingular Potentials in SUSYQMWKB and Supersymmetric WKBDirac Theory and SUSYQMNatanzon PotentialsThe Quantum Hamilton-Jacobi Formalism and SUSYQMThe Phase Space Quantum Mechanics Formalism and SUSYQMSolutions to Problems
Readership: Undergraduates, graduate and academics in physics.
Keywords:SUSYQM;Supersymmetry;Quantum MechanicsReview:
Reviews of the First Edition:

“This work is appropriate for anyone with a solid background in upper-division undergraduate mathematics and physics … The problems, which are scattered throughout the chapters, were very well chosen.”
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“The book under review provides, to undergraduate and graduate students of physics as well as to professional physicists, a basic theoretical background of SUSY QM. This book can be recommended reading for people interested in SUSY QM, the present book has been written keeping in mind junior and senior researchers that can understand quickly these subjects through a lot of examples, figures and problems (with solutions).”
Zentralblatt MATH
Key Features:It is the only text on this topic that is specifically designed for and tested on undergraduatesIt contains an accessible presentation of the ab initio method of generating all of the traditional Shape Invariant potentialsConnects Quantum Mechanics and Supersymmetric Quantum Mechanics throughout