Supersymmetric Quantum Mechanics: An Introduction (Second Edition)

by Asim Gangopadhyaya, Jeffry V Mallow, Constantin Rasinariu

Overview

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.

Product Details

ISBN-13:	9789813221031
Publisher:	World Scientific Publishing Company, Incorporated
Publication date:	12/08/2017
Pages:	296
Product dimensions:	6.00(w) x 9.00(h) x 0.69(d)

Table of Contents

Preface vii

1 Introduction 1

2 Quantum Mechanics and Clues to SUSYQM 5

3 Operator Formalism in Quantum Mechanics 25

4 Supersymmetric Quantum Mechanics 37

5 Shape Invariance 47

6 Supersymmetry and its Breaking 63

7 Potential Algebra 75

8 Special Functions and SUSYQM 87

9 Isospectral Deformations 95

10 Generating Additive Shape Invariant Potentials 103

11 Singular Potentials in SUSYQM 117

12 WKB and Supersymmetric WKB 131

13 Dirac Theory and SUSYQM 143

14 Natanzon Potentials 157

15 The Quantum Hamilton-Jacobi Formalism and SUSYQM 161

16 The Phase Space Quantum Mechanics Formalism and SUSYQM 183

17 Solutions to Problems 207

Bibliography 263

Index 279