ISSN:
0020-7608
Keywords:
Computational Chemistry and Molecular Modeling
;
Atomic, Molecular and Optical Physics
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Chemistry and Pharmacology
Notes:
In this article, we demonstrate a complementarity between the quasi-spin SU(2) algebra of the Hubbard model and the pseudo-orthogonal group O(m,m), where n = 2m is the number of lattice sites. It is shown that all N-electron states for the one-dimensional Hubbard model, corresponding to given values of spin and quasi-spin, give rise to an irreducible representation of O(m,m). Moreover, the cyclic group Cn symmetry of the Hamiltonian is investigated and the O(m,m) ↓ Cn branching rules are determined with the use of the U(n) q-dimension formula. © 1994 John Wiley & Sons, Inc.
Additional Material:
2 Tab.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1002/qua.560500306