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Invariant Harmonic Oscillator Functions. IV. The Thirty Two Point Groups
Author(s) -
Schöpp J.,
Wöhlecke M.,
Scherz U.
Publication year - 1987
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221430110
Subject(s) - harmonic oscillator , invariant (physics) , mathematics , symmetry group , point group , group (periodic table) , point (geometry) , symmetry (geometry) , mathematical physics , mathematical analysis , pure mathematics , quantum mechanics , physics , combinatorics , geometry
A method is given to calculate symmetry adapted harmonic oscillator functions for all 32 point groups. Due to reduction theorems between the various groups all functions can be found from those of the cubic groups and D 4 . The cubic groups are dealt with in the foregoing papers and here explicitely the oscillator functions for the group D 4 are given.