Hyperspherical functions with arbitrary permutational symmetry
Journal Article
·
· Physical Review A; (United States)
- Racah Institute of Physics, The Hebrew University, Jerusalem 91904 (Israel)
- Department of Chemistry, Technion-Israel Institute of Technology, Haifa 32000 (Israel)
An algorithm is formulated for the construction of many-particle permutational symmetry adapted functions in hyperspherical coordinates. A recursive procedure is proposed, introducing hyperspherical coefficients of fractional parentage (hscfps). These coefficients are the eigenvectors of the transposition class sum of the symmetric group in an appropriate basis. Only the matrix element of the transposition of the last two particles has to be calculated in each step. This matrix element is obtained by using the hscfps calculated in the preceding step as well as the Raynal-Revai and the [ital T] coefficients. The results are applicable to the study of the atomic, molecular, and nuclear few-body problem.
- OSTI ID:
- 5229196
- Journal Information:
- Physical Review A; (United States), Journal Name: Physical Review A; (United States) Vol. 49:2; ISSN 1050-2947; ISSN PLRAAN
- Country of Publication:
- United States
- Language:
- English
Similar Records
Harmonic oscillator SU[sub 3] states with arbitrary permutational symmetry
Symmetry adaptation of many-particle states with respect to both O(4) and the symmetric group
Construction of hyperspherical functions symmetrized with respect to the orthogonal and the symmetric groups
Journal Article
·
Fri Dec 31 23:00:00 EST 1993
· Annals of Physics (New York); (United States)
·
OSTI ID:7050343
Symmetry adaptation of many-particle states with respect to both O(4) and the symmetric group
Journal Article
·
Sat Feb 24 23:00:00 EST 1996
· Annals of Physics (New York)
·
OSTI ID:241205
Construction of hyperspherical functions symmetrized with respect to the orthogonal and the symmetric groups
Journal Article
·
Thu May 01 00:00:00 EDT 1997
· Annals of Physics (New York)
·
OSTI ID:538353