Supersymmetric Quantum Mechanics: An Introduction

by Asim Gangopadhyaya, Jeffry V Mallow, Constantin Rasinariu

Overview

The book provides a single compact source for undergraduate and graduate students and professional physicists who want to understand the essentials of supersymmetric quantum mechanics (SUSYQM). The text contains a large selection of examples, problems, and solutions that illustrate the fundamentals of SUSYQM and its applications. It is richly illustrated with figures and contains an attractive and relevant list of topics.

Product Details

ISBN-13:	9789814313087
Publisher:	World Scientific Publishing Company, Incorporated
Publication date:	10/25/2010
Pages:	292
Product dimensions:	6.10(w) x 9.10(h) x 0.80(d)

Table of Contents

Preface vii

Part 1 Fundamentals of Supersymmetric Quantum Mechanics 1

1 Introduction 3

2 Traditional Quantum Mechanics-Clues to SUSYQM 9

3 Operator Formalism in Quantum Mechanics 29

4 Algebraic Solution for the Harmonic Oscillator 37

5 Supersymmetric Quantum Mechanics 43

6 Shape Invariance 53

7 Supersymmetry and Its Breaking 63

8 Potential Algebra 81

Part 2 Applications 93

9 Special Functions and SUSYQM 95

10 Isospectral Deformations 103

11 Generating Shape Invariant Potentials 111

12 Singular Potentials in Supersymmetric Quantum Mechanics 121

13 WKB and Supersymmetric WKB 135

14 The Quantum Hamilton-Jacobi Formalism and SUSYQM 147

15 Dirac Theory and SUSYQM 169

16 Scattering in SUSYQM 189

17 Natanzon Potentials 203

Part 3 Summary 207

18 Summary 209

Part 4 Solutions to Problems 213

19 Solutions to Problems 215

Further Readings 273

Index 277