Supersymmetry in Quantum Mechanics

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World Scientific, 2001 - 210 páginas
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This invaluable book provides an elementary description of supersymmetric quantum mechanics which complements the traditional coverage found in the existing quantum mechanics textbooks. It gives physicists a fresh outlook and new ways of handling quantum-mechanical problems, and also leads to improved approximation techniques for dealing with potentials of interest in all branches of physics. The algebraic approach to obtaining eigenstates is elegant and important, and all physicists should become familiar with this.The book has been written in such a way that it can be easily appreciated by students in advanced undergraduate quantum mechanics courses. Problems have been given at the end of each chapter, along with complete solutions to all the problems. The text also includes material of interest in current research not usually discussed in traditional courses on quantum mechanics, such as the connection between exact solutions to classical soliton problems and isospectral quantum Hamiltonians, and the relation to the inverse scattering problem.
 

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Contenido

Preface vii
1
The Schrödinger Equation in One Dimension
7
Factorization of a General Hamiltonian
15
Shape Invariance and Solvable Potentials
35
Charged Particles in External Fields and Super
61
Isospectral Hamiltonians
81
New Periodic Potentials from Supersymmetry
97
Supersymmetric WKB Approximation
119
Appendix A Path Integrals and SUSY
157
Path Integral for the Evolution Operator
158
Path Integral Formulation of SUSY Quantum Mechanics
167
Superspace Formulation of SUSY Quantum Mechanics
174
Natanzon Potentials
182
Solutions to Problems
189
Index
207
Derechos de autor

Perturbative Methods for Calculating Energy Spec
137

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