Supersymmetry in quantum mechanics

This text provides an elementary description of supersymmetric quantum mechanics which aims to complement the traditional coverage found in the existing quantum mechanics textbooks. It sets out to give 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. It provides an algebraic approach to obtaining eigenstates. This volume has been written to be accessible to 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 book 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. The intended readership includes graduate and advanced undergraduate students and researchers in quantum, mathematical, theoretical and high-energy physics. 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. 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 For advanced undergraduate and graduate courses in quantum mechanics, this text provides an elementary description of supersymmetry, a conceptual framework for understanding potential problems in quantum mechanics using ideas borrowed from quantum field theory. Rather than aiming for comprehensive coverage, the authors include what they consider the most important supersymmetry topics to complement traditional quantum mechanics texts. Annotation c. Book News, Inc., Portland, OR (booknews.com)