Supersymmetry in Quantum Mechanics

Fred Cooper, Avinash Khare, Uday Sukhatme

400 pages, parution le 06/12/2001

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Résumé

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.

Contents

The Schrödinger Equation in One Dimension
Factorization of a General Hamiltonian
Shape Invariance and Solvable Potentials
Charged Particles in External Fields and Supersymmetry
Isospectral Hamiltonians
New Periodic Potentials from Supersymmetry
Supersymmetric WKB Approximation
Perturbative Methods for Calculating Energy Spectra and Wave Functions

Appendices: Path Integrals and SUSY

Operator Transforms — New Solvable Potentials from Old
Logarithmic Perturbation Theory
Solutions to Problems

Caractéristiques techniques

	PAPIER
Éditeur(s)	World Scientific
Auteur(s)	Fred Cooper, Avinash Khare, Uday Sukhatme
Parution	06/12/2001
Nb. de pages	400
Format	15,5 x 22,2
Couverture	Relié
Poids	400g
Intérieur	Noir et Blanc
EAN13	9789810246051