Group projector generalization of dirac-heisenberg model

Details Group projector generalization of dirac-heisenberg model Group projector generalization of dirac-heisenberg model

2000-04-21

arxiv.org/abs/cond-mat/0004366v1

J. Phys. A: Math. Gen 33 (2000) 2223-2229

Physics

Condensed Matter

Soft Condensed Matter

10 pages

Scientific paper

10.1088/0305-4470/33/11/305

The general form of the operators commuting with the ground representation (appearing in many physical problems within single particle approximation) of the group is found. With help of the modified group projector technique, this result is applied to the system of identical particles with spin independent interaction, to derive the Dirac-Heisenberg hamiltonian and its effective space for arbitrary orbital occupation numbers and arbitrary spin. This gives transparent insight into the physical contents of this hamiltonian, showing that formal generalizations with spin greater than 1/2 involve nontrivial additional physical assumptions.

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