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A scheme for representation matrices of a permutation group using spin‐paired functions
Author(s) -
Kadolkar C.,
Sarma C. R.,
Ghosh Dipan K.
Publication year - 1993
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.560470303
Subject(s) - permutation (music) , permutation matrix , representation (politics) , superposition principle , permutation group , group (periodic table) , spin (aerodynamics) , scheme (mathematics) , simple (philosophy) , symmetric group , matrix (chemical analysis) , combinatorics , state (computer science) , mathematics , computer science , physics , algorithm , quantum mechanics , chemistry , thermodynamics , mathematical analysis , politics , philosophy , epistemology , chromatography , political science , acoustics , law
In the present note, a linked form of spin‐paired functions for an N ‐electron system in spin state S is suggested. This is found to lead to a simple scheme for generating the representation matrices of the elements of permutation group without searching for linkages in the superposition diagrams. The program based on this is found to generate the representation matrices more efficiently than do currently available procedures. © 1993 John Wiley & Sons, Inc.

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