Algebraic expressions for irreducible bases of icosahedral group
- Department of Physics, Nanjing University, Nanjing, 210008, Peoples Republic of (China)
- Department of Physics, Nanjing Normal University, Nanjing, 210097, Peoples Republic of (China)
The recently discovered point-group symmetrized boson representation (SBR) is constructed for the icosahedral group I{sub h}. With the aid of the SBR, succinct algebraic expressions for the irreducible bases and irreducible matrices have been found. Irreducible bases for non-regular representations can be found easily from those of the regular representation without projections. Explicit expressions of the irreducible bases are given for the molecule B{sub 12}H{sub 12} for several important cases. It is shown that, far from being {open_quotes}chaotic{close_quotes} in structure, the 120 irreducible matrices of I{sub h} have a high degree of symmetry in that the 14400 entries can be reproduced from a few dozen entries according to three rules. {copyright} {ital 1997 American Institute of Physics.}
- OSTI ID:
- 436423
- Journal Information:
- Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 1 Vol. 38; ISSN JMAPAQ; ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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