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Contraction operator over electronic fock space. I. Symmetry properties
Author(s) -
Panin A. I.
Publication year - 1985
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.560280616
Subject(s) - fock space , contraction (grammar) , operator (biology) , permutation (music) , mathematics , displacement operator , pure mathematics , basis (linear algebra) , space (punctuation) , mathematical physics , quantum mechanics , algebra over a field , physics , computer science , chemistry , finite rank operator , quasinormal operator , geometry , medicine , biochemistry , repressor , transcription factor , acoustics , banach space , gene , operating system
Permutation symmetry of the contraction operator over the electronic Fock space is studied in detail. A direct description of the preimage of arbitrary operator with respect to the contraction is given in terms of the Gel'fand‐Tzetlin operator basis set. Strong and weak forms of the generalized representability problem are briefly discussed.