Electronic Spaces and Classification of Multielectron States in Multicentre Systems
R. Chatterjeea, T. Lulekb and J.K. Biela
aDepartment of Physics, University of Calgary, Calgary, Alberta T2N 1N4, Canada
bInstitute of Physics, A. Mickiewicz University, Matejki 48/49, 60-769 PoznaƄ, Poland
Received: February 24, 1992
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Electronic structure of a crystal within the tight binding model is described in terms of fibre bundle formalism, with the base and fiber being respectively the set of all sites and the single-centre space of electron spinorbitals. It is based on the Weyl's duality between the symmetric group and the unitary group, and paves the way for a Racah-Wigner type of description of electronic structure in multicentre systems.
DOI: 10.12693/APhysPolA.81.467
PACS numbers: 02.40.+m, 33.10.Cs, 71.10.+x, 74.60.-w