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Factorization of the secular determinant by constants of the motion
Author(s) -
Gallup G. A.
Publication year - 1968
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.560020509
Subject(s) - factorization , factoring , basis (linear algebra) , motion (physics) , symmetry (geometry) , mathematics , space (punctuation) , constant (computer programming) , vector space , mathematical physics , mathematical analysis , physics , pure mathematics , classical mechanics , geometry , computer science , algorithm , finance , economics , programming language , operating system
Abstract A discussion of the factorization by constants of the motion of the secular equation is given and formulas are obtained which relate these factors to the traces of certain operators. These traces are independent of the specific basis in the vector space, and, hence, so are the factors of the secular equation. The results are also applied to the case of factoring by a finite symmetry group.