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Algebraic reductions of the real symmetric 4 × 4 secular problem
Author(s) -
Linderberg Jan
Publication year - 1981
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.560190205
Subject(s) - eigenvalues and eigenvectors , mathematics , algebraic number , pure mathematics , spectrum (functional analysis) , algebra over a field , matrix (chemical analysis) , triple system , group (periodic table) , lie algebra , mathematical physics , physics , mathematical analysis , quantum mechanics , chemistry , chromatography
Procedures for the construction of the eigenvector matrix and the spectrum of 4 × 4 real and symmetric matrices are given. The Lie algebra of the group O (4)† is used as well as the relation to O (3)†. Perturbations are analyzed in terms of the group parameters.