Supersymmetry in quantum mechanics / Fred Cooper, Avinash Khare, Uday Sukhatme.

Includes bibliographical references and index.

Cover -- Contents -- Preface -- Chapter 1 Introduction -- Chapter 2 The Schrodinger Equation in One Dimension -- 2.1 General Properties of Bound States -- 2.2 General Properties of Continuum States and Scattering -- 2.3 The Harmonic Oscillator in the Operator Formalism -- Chapter 3 Factorization of a General Hamiltonian -- 3.1 Broken Supersymmetry -- 3.2 SUSY Harmonic Oscillator -- 3.3 Factorization and the Hierarchy of Hamiltonians -- Chapter 4 Shape Invariance and Solvable Potentials -- 4.1 General Formulas for Bound State Spectrum, Wave Functions and S-Matrix13; -- 4.2 Strategies for Categorizing Shape Invariant Potentials -- 4.2.1 Solutions Involving Translation -- 4.2.2 Solutions Involving Scaling -- 4.2.3 Other Solutions -- 4.3 Shape Invariance and Noncentral Solvable Potentials -- Chapter 5 Charged Particles in External Fields and Supersymmetry -- 5.1 Spinless Particles -- 5.2 Non-relativistic Electrons and the Pauli Equation -- 5.3 Relativistic Electrons and the Dirac Equation -- 5.4 SUSY and the.

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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.

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