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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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樓主: legerdemain
51#
發(fā)表于 2025-3-30 12:01:42 | 只看該作者
Symbolic Calculation of the Zeeman Effect,ation theory of the Zeeman effect has had a long history (see [R084] and [JA90] and references therein) but the first few energy corrections for the ground state are more difficult to obtain. In fact the first 5 orders were first calculated only in 1976 by Galindo and Pascual [GA76] using the method of Dalgarno and Lewis [DA55], [DA56a], [SC68].
52#
發(fā)表于 2025-3-30 12:26:00 | 只看該作者
53#
發(fā)表于 2025-3-30 20:11:50 | 只看該作者
The Tilting Transformation,h from the passive viewpoint uses two coordinate systems and has the advantage of being simpler to introduce and apply than the so called “tilting transformation” commonly used in the literature [AD82], [AD88b], [BA71a], [WY74]. The tilting transformation is just an active approach to scaling in operator form.
54#
發(fā)表于 2025-3-30 23:46:45 | 只看該作者
Textbook 1994der 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, prov
55#
發(fā)表于 2025-3-31 04:53:14 | 只看該作者
General Discussion of Lie Algebras,ions and operators, matrices and commutators. Our treatment is brief in order to pro-vide only the necessary background for an understanding of the applications in later chapters. The relationship between a Lie algebra and its corresponding Lie group is discussed in Appendix B.
56#
發(fā)表于 2025-3-31 05:35:25 | 只看該作者
Commutator Gymnastics,ect these results together in this chapter. Derivations of selected identities are also given to provide the reader with experience in “commutator gymnastics” (the calculus of commutators). Derivations of the remaining identities are given in the solutions to the end of chapter exercises.
57#
發(fā)表于 2025-3-31 11:00:04 | 只看該作者
Representations and Realizations of so(2,1), model problems in quantum mechanics such as the hydrogen atom, harmonic oscillator and one-electron diatomic ions. In this context so(2,1) appears as a spectrum-generating algebra in the sense that energy formulas such as the Bohr formula are all obtained in a unified and purely algebraic manner wi
58#
發(fā)表于 2025-3-31 13:20:29 | 只看該作者
59#
發(fā)表于 2025-3-31 21:00:36 | 只看該作者
60#
發(fā)表于 2025-4-1 00:57:21 | 只看該作者
Symbolic Calculation of the Stark Effect,ied perturbation theory to large order for the ground state is carried out using the Maple computer algebra system [CH91a,b,c]. The ground state results are tabulated in Appendix E to order 100 in both rational and floating point form.
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