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Algebraic Approach to Simple Quantum Systems - With Applications to Perturbation Theory (Paperback, Softcover reprint of the original 1st ed. 1994)
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Algebraic Approach to Simple Quantum Systems - With Applications to Perturbation Theory (Paperback, Softcover reprint of the original 1st ed. 1994)
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This book provides an introduction to the use of algebraic methods
and sym bolic computation for simple quantum systems with
applications to large order perturbation theory. It is the first
book to integrate Lie algebras, algebraic perturbation theory and
symbolic computation in a form suitable for students and
researchers in theoretical and computational chemistry and is
conveniently divided into two parts. The first part, Chapters 1 to
6, provides a pedagogical introduction to the important Lie
algebras so(3), so(2,1), so(4) and so(4,2) needed for the study of
simple quantum systems such as the D-dimensional hydrogen atom and
harmonic oscillator. This material is suitable for advanced
undergraduate and beginning graduate students. Of particular
importance is the use of so(2,1) in Chapter 4 as a spectrum
generating algebra for several important systems such as the
non-relativistic hydrogen atom and the relativistic Klein-Gordon
and Dirac equations. This approach provides an interesting and
important alternative to the usual textbook approach using series
solutions of differential equations."
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