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Computations on Heisenberg Spin Models
Author(s) -
Seitz W. A.,
Klein D. J.
Publication year - 1973
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.560070403
Subject(s) - computation , permutation (music) , permutation group , spin (aerodynamics) , physics , symmetry (geometry) , point (geometry) , quantum mechanics , heisenberg model , symmetric group , set (abstract data type) , mathematical physics , group (periodic table) , theoretical physics , mathematics , combinatorics , computer science , algorithm , geometry , ferromagnetism , acoustics , thermodynamics , programming language
A computational approach for general Heisenberg spin Hamiltonians for a finite number of interacting doublet species is described. Maximum use of permutation and point group symmetry is incorporated in factorizing the secular equation. Associated problems in the computation of symmetric group characters, related frequencies, and selection of linearly independent kets from a large linearly dependent set are also solved.