Algebraic Approach to Simple Quantum Systems

With Applications to Perturbation Theory
Springer Book Archives
1994. Buch. xvi, 451 S.: 2 s/w-Abbildungen, 77 s/w-Tabelle, Bibliographien. Softcover
Springer ISBN 978-3-540-57801-7
Format (B x L): 15,5 x 23,5 cm
Gewicht: 730 g
In englischer Sprache
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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