Algebraic Approach to Simple Quantum Systems: With Applications to Perturbation Theory

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The author aims this text primarily at advanced undergraduates and first-year graduate students in theoretical and computational chemistry. The text begins with a pedagogic introduction to the Lie algebras needed for the study of simple quantum systems such as the N-dimensional hydrogen atom and the harmonic oscillator. The second part presents applications of these algebraic methods to the large order perturbation theory of Stark, Zeeman and spherically symmetric perturbation potentials, using symbolic computation and the Maple computer algebra system. A diskette containing the programs and datafiles from the book’s problems and examples is included.