Premium
Alternative equivalent icosahedral irreducible tensors
Author(s) -
Boyle L. L.,
Schäuffer C. E.
Publication year - 1974
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.560080202
Subject(s) - icosahedral symmetry , rank (graph theory) , mixing (physics) , symmetry (geometry) , irreducible representation , pure mathematics , permutation (music) , basis (linear algebra) , mathematics , property (philosophy) , quasicrystal , combinatorics , physics , geometry , quantum mechanics , acoustics , philosophy , epistemology
Some sets of icosahedral irreducible tensors can only be defined with respect to one of two seemingly equivalent choices of axes. The problem is explained and the cases when such an alternative choice may cause mixing of sets belonging to different irreducible representations are determined. It is found that the amount of mixing is a property of the spherical basis sets and is independent of the rank and of the permutation symmetry of the tensorial sets. It is further found that certain operators which change the handedness of the coordinate axes can similarly affect these sets, notwithstanding the centrosymmetry of the icosahedron.