Abstract
The unitary group formulation of many-body theory is based on particle-hole Gel'fand states, states labeled only by the excitation process: h(hole orbitals)-p(particle orbitals). The particle-hole Gel'fand states are constructed from generator states, states obtained by applying weight-lowering products of generators to the highest weight state and then evaluating the matrix elements Lie algebraically. We make application to spin-projected, quasidegenerate perturbation theory.
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