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Titlebook: Algebraic Approach to Simple Quantum Systems; With Applications to Barry G. Adams Textbook 1994 Springer-Verlag Berlin Heidelberg 1994 Dira

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期刊全称Algebraic Approach to Simple Quantum Systems
期刊简称With Applications to
影响因子2023Barry G. Adams
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图书封面Titlebook: Algebraic Approach to Simple Quantum Systems; With Applications to Barry G. Adams Textbook 1994 Springer-Verlag Berlin Heidelberg 1994 Dira
影响因子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.
Pindex Textbook 1994
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Lie Algebraic Perturbation Theory,detailed examples of hydrogenic perturbation theory in the next chapters using the Lie algebraic methods we have developed for so(2,1) and so(4,2). The Stark effect is used as a simple example throughout the chapter and will be considered in more detail in the next chapter.
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978-3-540-57801-7Springer-Verlag Berlin Heidelberg 1994
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