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Electronic Fock space as associative superalgebra
Author(s) -
Panin A. I.
Publication year - 2006
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.20950
Subject(s) - fock space , creation and annihilation operators , algebraic structure , annihilation , action (physics) , multiplication (music) , superalgebra , mathematics , algebra over a field , associative property , space (punctuation) , pure mathematics , algebraic number , theoretical physics , physics , quantum mechanics , computer science , mathematical analysis , quantum , combinatorics , operating system
A new algebraic structure on a finite dimensional electronic Fock space is studied in detail. This structure is defined in terms of a certain multiplication of many electron wave functions and has close interrelation with coupled cluster and similar approaches. Its study simplifies the mathematical backgrounds of these approaches. Even more, it leads to relations that would be very difficult to derive using conventional technique. Formulas for action of the creation‐annihilation operators on products of state vectors are derived. Explicit expressions for action of simplest particle‐conserving products of the creation‐annihilation operators on powers of state vectors are given. © 2006 Wiley Periodicals, Inc. Int J Quantum Chem, 2006