Coherent state constructions of bases for some physically relevant group chains
Abstract
Rotor coherent state constructions are given for the Wigner supermultiplet SU(4) contains SU(2)xSU(2) and for the special irreducible representations (N0) of the SO(5) contains SO(3) contains SO(2) group chain in exact parallel with the rotor coherent state construction for the SU(3) contains SO(3) contains SO(2) case given by Rowe, LeBlanc,, and Repka. Matrix elements of the coherent state realizations of the group generators are given in all cases by very simple expressions in terms of angular momentum Wigner coefficients involving intrinsic projection labels K. The Kmatrix technique of vector coherent state theory is used to effectively elevate these K labels to the status of good quantum numbers. Analytic expressions are given for the (K K*)matrices for many of the more important irreducible representations.
 Publication:

2nd International Workshop on Harmonic Oscillators
 Pub Date:
 January 1995
 Bibcode:
 1995haos.work...69H
 Keywords:

 Angular Momentum;
 Assembling;
 Equations Of State;
 Molecular Chains;
 Quantum Numbers;
 Rotor Dynamics;
 Series Expansion;
 Wigner Coefficient;
 Eigenvalues;
 Hermitian Polynomial;
 Operators (Mathematics);
 Quadrupoles;
 Wave Functions;
 Atomic and Molecular Physics