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On the structure of the Clifford algebra unitary group adapted states in the many‐electron correlation problem
Author(s) -
Mukhopadhyay Atri
Publication year - 2000
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/(sici)1097-461x(2000)77:3<607::aid-qua2>3.0.co;2-m
Subject(s) - clifford algebra , unitary state , subspace topology , hamiltonian (control theory) , group (periodic table) , unitary group , algebra over a field , mathematics , quantum mechanics , pure mathematics , physics , mathematical analysis , political science , mathematical optimization , law
An attempt has been made to understand the structure of the Clifford algebra unitary group adapted many‐particle states from the conventional symmetric group point of view. Emphasizing the symmetric group result that the consideration of the spin‐independent Hamiltonian matrix over the many‐particle configuration functions (CFs) entails a particular subspace of their spatial parts only, attention is confined entirely in this subspace. Question of adapting the functions therein to the unitary group subduction chain is then shown to bring out an interesting lead to the Clifford algebra unitary group approach (CAUGA) states, thus underlining the motive and the essential gains of the CAUGA formulation. © 2000 John Wiley & Sons, Inc. Int J Quant Chem 77: 607–614, 2000