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Generation of genealogical spin eigenfunctions
Author(s) -
Grabenstetter J. E.,
Tseng T. J.,
Grein F.
Publication year - 1976
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.560100112
Subject(s) - eigenfunction , spin (aerodynamics) , order (exchange) , physics , mathematics , group (periodic table) , theoretical physics , quantum mechanics , mathematical physics , pure mathematics , eigenvalues and eigenvectors , thermodynamics , finance , economics
A method is given for generating the Yamanouchi‐Kotani genealogical spin eigenfunctions which requires neither storage of eigenfunctions for smaller numbers of electrons, nor summations of large order, nor explicit use of results from the theory of representations of the symmetric group. An explicit formula is given for the coefficients of expansion in terms of spin products.