A gradient formula for the group U(2l+1)
- 1 March 1978
- journal article
- Published by IOP Publishing in Journal of Physics G: Nuclear Physics
- Vol. 4 (3), L59-L63
- https://doi.org/10.1088/0305-4616/4/3/004
Abstract
The author reports a gradient formula for the group U(2l+1). It is derived in the special case of U(5) and then extended to U(2l+1). The matrix elements of a homogeneous polynomial Pv( pi 2) of degree v in the collective momenta pi 2m is given in terms of the matrix elements of the same polynomial Pv( alpha 2) depending only on the collective coordinates alpha 2m.Keywords
This publication has 6 references indexed in Scilit:
- Group theory of the collective model of the nucleusJournal of Mathematical Physics, 1977
- U(5) ⊃ O(5) ⊃ O(3) and the exact solution for the problem of quadrupole vibrations of the nucleusJournal of Mathematical Physics, 1976
- Collective potential energy surfaces and nuclear structureNuclear Physics A, 1971
- Zur Klassifikation der Zustände des 5-dimensionalen harmonischen OszillatorsThe European Physical Journal A, 1966
- Some simple R5 Wigner coefficients and their applicationNuclear Physics, 1965
- Über die nebst ihren Ableitungen orthogonalen Polynomensysteme und das zugehörige ExtremumMathematische Annalen, 1944