Unitary group approach to general system partitioning. II.  U ( n ) matrix element evaluation in a composite basis | Zendy

Gould M. D. | Zendy

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Unitary group approach to general system partitioning. II. U ( n ) matrix element evaluation in a composite basis

Author(s) -

Gould M. D.

Publication year - 1986

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.560300305

Subject(s) - unitary state , formalism (music) , unitary matrix , unitary group , composite number , limiting , special unitary group , matrix element , group (periodic table) , algebra over a field , matrix (chemical analysis) , pure mathematics , mathematics , quantum mechanics , computational chemistry , chemistry , physics , mathematical physics , algorithm , engineering , particle physics , mechanical engineering , art , musical , chromatography , political science , law , visual arts

An explicit segment level formalism is derived for the matrix elements of the U ( n ) generators in an arbitrary (multishell) composite basis. The results of this paper, which contain the usual (spin‐independent) unitary calculus approach as a limiting case, yield a more powerful and versatile algorithm than the traditional (spin‐independent) unitary group formalism.

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