✦ LIBER ✦
Representation theory of so(4,2) for the perturbation treatment of hydrogenic-type hamiltonians by algebraic methods
✍ Scribed by B. G. Adams; J. Čížek; J. Paldus
- Publisher
- John Wiley and Sons
- Year
- 1982
- Tongue
- English
- Weight
- 853 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0020-7608
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
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.