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The n ‐electron problem and matrices representing the symmetric groups
Author(s) -
Gallup G. A.
Publication year - 1972
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.560060417
Subject(s) - representation (politics) , representation theory of the symmetric group , representation theory , mathematics , symmetric group , quantum chemical , electron , combinatorics , pure mathematics , algebra over a field , computational chemistry , quantum mechanics , physics , chemistry , molecule , politics , political science , law
The application of the representation theory of symmetric groups to the solution of quantum chemical problems is discussed. This is done using matrices which do not represent S n in the normal sense, but which are much simpler to calculate than the Yamanouchi‐Kotani representation. A complete discussion of the calculation of these matrices is given.