Boson realization of sp(4, R). II. The generating kernel formulation

Journal Article · Tue Apr 01 04:00:00 EST 1986 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.527165· OSTI ID:5978202

Castanos, O; Kramer, P; Moshinsky, M

In a previous paper of this series, the matrix elements were discussed with respect to boson states of an operator K/sup 2/ required for the boson realization of the sp(4, R) Lie algebra. In the present paper, it is shown that these matrix elements can be obtained from a generating kernel given by the overlap of sp(4, R) coherent states. The results have relevance for the determination of the matrix elements of the generators of the sp(4, R) Lie algebra with respect to the basis of irreps of the positive discrete series for the corresponding group, and are, in principle, generalizable to symplectic algebras of higher dimensions.

• Research Organization: Centro de Estudios Nucleares, Universidad Nacional Autonoma de Mexico, Apartado Postal 70-543, Mexico, D. F. 04510 Mexico
• OSTI ID: 5978202
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 27:4; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

653007* -- Nuclear Theory-- Nuclear Models-- (-1987)
658000 -- Mathematical Physics-- (-1987)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ALGEBRA
BOSON EXPANSION
GROUP THEORY
IRREDUCIBLE REPRESENTATIONS
KERNELS
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATHEMATICS
MATRIX ELEMENTS
NUCLEAR MODELS
QUANTUM OPERATORS
SP GROUPS
SYMMETRY GROUPS