Point-group symmetrized boson representation. Algebraic solution for symmetry-adapted bases of {ital O}{sub {ital h}}
- Department of Physics, Nanjing University, Nanjing, 210008, Peoples Republic of (China)
- Department of Physics, University of Pennsylvania, Philadelphia, Pennsylvania 19104-6396 (United States)
- Department of Physics, Nanjing Normal University, Nanjing, 210097, Peoples Republic of (China)
A point group symmetrized boson representation (SBR) is introduced that is particularly convenient for describing molecular vibrations. In this paper the SBR is elucidated using the example of the molecule {ital SF}{sub 6} with {ital O}{sub {ital h}} symmetry. The advantages of the SBR are that its basis vectors have a clear physical picture, their number is very small (equal to one-eighth of the dimension of the reducible representation for {ital O}{sub {ital h}}), and the irreducible bases for any concrete cases can be obtained trivially from those for the general case without any projection. All the irreducible bases for the group chains {ital O}{sub {ital h}}{improper_superset}{ital D}{sub 4}{improper_superset}{ital C}{sub 4} or {ital O}{sub {ital h}}{improper_superset}{ital D}{sub 4}{improper_superset}{ital D}{sub 2} are tabulated once and for all. As an application, the Hamiltonian in the algebraic model of Iachello and Oss for stretching vibrations of the molecule {ital SF}{sub 6} is diagonalized in the symmetry adapted bases. {copyright} {ital 1996 American Institute of Physics.}
- OSTI ID:
- 283402
- Journal Information:
- Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 5 Vol. 37; ISSN JMAPAQ; ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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