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Particle‐hole gel'fand states and quasidegenerate perturbation theory
Author(s) -
Matsen F. A.
Publication year - 2009
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560200817
Subject(s) - unitary state , atomic orbital , physics , perturbation theory (quantum mechanics) , quantum mechanics , atomic physics , chemistry , electron , law , political science
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.