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.
Preface
vii
1 Introduction
1
(4)
2 Quantum Mechanics and Clues to SUSYQM
5
(20)
3 Operator Formalism in Quantum Mechanics
25
(12)
4 Supersymmetric Quantum Mechanics
37
(10)
5 Shape Invariance
47
(16)
6 Supersymmetry and its Breaking
63
(12)
7 Potential Algebra
75
(12)
8 Special Functions and SUSYQM
87
(8)
9 Isospectral Deformations
95
(8)
10 Generating Additive Shape Invariant Potentials
103
(14)
11 Singular Potentials in SUSYQM
117
(14)
12 WKB and Supersymmetric WKB
131
(12)
13 Dirac Theory and SUSYQM
143
(14)
14 Natanzon Potentials
157
(4)
15 The Quantum Hamilton-Jacobi Formalism and SUSYQM
161
(22)
16 The Phase Space Quantum Mechanics Formalism and SUSYQM
