Supersymmetry in Quantum Mechanics
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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The Schrödinger Equation in One Dimension
Factorization of a General Hamiltonian
Shape Invariance and Solvable Potentials
Charged Particles in External Fields and Super
New Periodic Potentials from Supersymmetry
Supersymmetric WKB Approximation
Perturbative Methods for Calculating Energy Spec
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algebraically analytically approach band edges bound calculate Chapter choice choose classical compute condition consider constant coordinate corrections corresponding defined determine dimensional dimensions Dirac equation discussed easily eigenfunctions eigenstates energy eigenvalues energy levels exact example expansion expression fact factor fermionic follows Further given by eq gives ground state energy ground state wave Hamiltonian harmonic oscillator hence independent isospectral known Lamé potential limit lowest matrix method normalized Note obtained operator parameter particle particular partner potentials periodic perturbation Phys points problem quantum mechanics satisfy scattering Schrödinger equation self-isospectral shape invariant shape invariant potentials shown simple SIPs solutions solvable potentials solve space spectra spectrum superpotential Supersymmetry SUSY partner SUSY QM SWKB symmetric Table takes theory tion transformation translation turning unbroken values variables Vi(x wave function Witten zero