Supersymmetry in Quantum MechanicsWorld Scientific, 2001 - 210 páginas 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. |
Contenido
Preface | 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 |
7880 | 83 |
30 | 89 |
61 | 131 |
Perturbative Methods for Calculating Energy Spec | 137 |
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 |
New Periodic Potentials from Supersymmetry | 97 |
53 | 114 |
Supersymmetric WKB Approximation | 119 |
Otras ediciones - Ver todas
Supersymmetry In Quantum Mechanics Frederick M Cooper,Avinash Khare,Uday P Sukhatme Vista previa limitada - 2001 |
Supersymmetry in Quantum Mechanics Fred Cooper,Avinash Khare,Uday Pandurang Sukhatme Sin vista previa disponible - 2001 |
Términos y frases comunes
a₁ algebraically anharmonic associated Lamé potential band edges bound bands cnx dn dimensional Dirac equation dn²x E₁ eigenstates eigenvalues and eigenfunctions energy eigenvalues energy levels exact exactly solvable family of isospectral fermionic given by eq ground state energy ground state wave H₂ Hamiltonian harmonic oscillator hence inverse scattering isospectral isospectral potentials KdV equation Khare Lamé equation lowest order SWKB method Morse potential n-parameter normalizable obtained operator parameter family partner potential V2(x path integral Pauli equation Phys potential V₁(x problem reflectionless Schrödinger equation sech²x self-isospectral shape invariance condition shape invariant potentials sn²x soliton solutions solvable potentials solve spectra strictly isospectral Sukhatme superpotential superpotential W(x supersymmetric partner potential Supersymmetric Quantum Mechanics Supersymmetry SUSY is unbroken SUSY partner potentials SUSY QM SWKB quantization condition V₁ V₂ V₂(x Vo(x wave function Witten index WKB approximation WKB theory