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Representation theory of so (4,2) for the perturbation treatment of hydrogenic‐type hamiltonians by algebraic methods
Author(s) -
Adams B. G.,
Čížek J.,
Paldus J.
Publication year - 1982
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560210112
Subject(s) - zeeman effect , algebraic number , hamiltonian (control theory) , perturbation (astronomy) , angular momentum , physics , algebraic expression , mathematical physics , perturbation theory (quantum mechanics) , operator (biology) , electron , quantum mechanics , mathematics , chemistry , magnetic field , mathematical analysis , mathematical optimization , biochemistry , repressor , transcription factor , gene
The representations of so (4,2) which are applicable to the perturbation treatment of one‐electron Hamiltonians of the form H = H 0 + λ V are discussed, where H 0 is a hydrogenic Hamiltonian. A unified construction of the representations of so (2,1) and so (3) is outlined and the representations of so (4) [and also so (3,1)] are then obtained using both the vector operator method and angular momentum recoupling techniques. The merging of so (2,1) and so (4) then leads in a natural way to so (4,2). An outline of perturbation theory applications such as the Stark and Zeeman effects is also given.