Supersymmetric Quantum Mechanics

An Introduction

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.

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