Algebraic Approach to Simple Quantum Systems : With Applications to Perturbation Theory
Overview
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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Details
- ISBN-13: 9783540578017
- ISBN-10: 3540578013
- Publisher: Springer
- Publish Date: May 1994
- Dimensions: 9.21 x 6.14 x 0.94 inches
- Shipping Weight: 1.43 pounds
- Page Count: 451
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