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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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楼主: legerdemain
发表于 2025-3-25 05:38:42 | 显示全部楼层
Introduction: Decadent Poetics,In this chapter we complete our study of Lie algebras by merging so(2,1) and so(4) to obtain the Lie algebras so(4,1) and so(4,2). The origin and basic properties of the Lie algebras so(.) and the corresponding Lie groups SO(.) are given in Appendix B.
发表于 2025-3-25 10:15:26 | 显示全部楼层
发表于 2025-3-25 15:39:00 | 显示全部楼层
https://doi.org/10.1007/978-3-031-14006-8The Levi-Civita symbol is denoted by ... It is antisymmetric in all three indices and defined by.It is very useful for the manipulation of various commutation relations and for expressing them in compact form and arises most naturally in the discussion of the vector product in the three-dimensional vector space ...
发表于 2025-3-25 17:41:31 | 显示全部楼层
Certifying for Carbon Neutrality,In our applications to hydrogenic perturbation theory we need matrix elements of ., .., .., in the D-dimensional case, and matrix elements of ., .., . and .(.. -..) in the 3-dimensional case. They are conveniently collected together here in tables derived using the Maple computer algebra system [CH91a,b,c].
发表于 2025-3-25 21:12:27 | 显示全部楼层
https://doi.org/10.1007/978-3-319-15506-7In Tables E.1 to E.4 the energy corrections for the ground state 3-D Stark effect have been converted to the integer values .. = -2 · 4... corresponding to the series expansion (see [PR80] where the notation .. = .. is used).
发表于 2025-3-26 02:16:35 | 显示全部楼层
Decarbonising Commercial BuildingsIn Tables F.1 to F.15 the energy corrections .. for the ground state Zeeman effect are given in rational form for the series expansion.where λ = ../8 [see Chapter 9].
发表于 2025-3-26 07:19:34 | 显示全部楼层
https://doi.org/10.1007/978-981-13-7940-6In Tables G.1 to G.8 the 3-dimensional ground state energy corrections .. for the charmonium potential are given to order 100 in rational form. They were obtained using program . in Section 10.2.3 with . followed by program . with . and .. They can also be obtained more efficiently using the HVHF method and procedure . given in Section 10.6.
发表于 2025-3-26 11:53:21 | 显示全部楼层
Decarbonising the Built EnvironmentIn Tables H.1 to H.13 the 3-dimensional ground state energy corrections .. for the harmonium potential are given to order 100 in rational form. They were obtained using program . in Section 10.2.3 for . followed by program . with . and .. They can also be obtained more efficiently using the HVHF method and procedure . given in Section 10.6
发表于 2025-3-26 13:19:12 | 显示全部楼层
Decarbonising the Built EnvironmentIn Tables I.1 to I.8 the 3-dimensional ground state energy corrections .. for the Yukawa potential ../. are given to order 100 in rational form. The floating point values of the energy corrections expressed in the Maple internal floating point format are also given to 60 digit accuracy in Tables I.9 to I.12.
发表于 2025-3-26 18:34:42 | 显示全部楼层
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