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: - Introduction
- Quantum Mechanics and Clues to SUSYQM
- Operator Formalism in Quantum Mechanics
- Supersymmetric Quantum Mechanics
- Shape Invariance
- Supersymmetry and Its Breaking
- Potential Algebra
- Special Functions and SUSYQM
- Isospectral Deformations
- Generating Additive Shape Invariant Potentials
- Singular Potentials in SUSYQM
- WKB and Supersymmetric WKB
- Dirac Theory and SUSYQM
- Natanzon Potentials
- The Quantum Hamilton-Jacobi Formalism and SUSYQM
- The Phase Space Quantum Mechanics Formalism and SUSYQM
- Solutions to Problems
Readership: Undergraduates, graduate and academics in physics.
Key Features:- It is the only text on this topic that is specifically designed for and tested on undergraduates
- It contains an accessible presentation of the ab initio method of generating all of the traditional Shape Invariant potentials
- Connects Quantum Mechanics and Supersymmetric Quantum Mechanics throughout