On the boson--quasifermion realization of the particle--hole SO(2. cap omega. +1) algebra

Journal Article · Sat Dec 31 23:00:00 EST 1988 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.528573· OSTI ID:6572937

Klein, A; Marshalek, E R

The shell-model algebra SO(2..cap omega..+1) generated by all bilinear and linear combinations of fermion creation and annihilation operators acting on a Fock space of ..cap omega.. orbitals may be mapped into an ''ideal space'' in which particle--hole pairs are described by boson operators, while excess particles or holes are described by fermionlike degrees of freedom called ''quasifermions.'' After a review of the derivation of the nonunitary generalized Dyson realization, it is shown how this realization can be unitarized in a very simple way with the help of a recently developed technique that utilizes the Casimir invariants of a ''core subalgebra.''

• Research Organization: Department of Physics, University of Pennsylvania, Philadelphia, Pennsylvania 19104
• OSTI ID: 6572937
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 30:1; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

653001* -- Nuclear Theory-- Nuclear Structure
Moments
Spin
& Models
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ALGEBRA
BOSON EXPANSION
BOSON-FERMION SYMMETRY
DEGREES OF FREEDOM
DYSON REPRESENTATION
GROUP THEORY
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICS
NUCLEAR MODELS
PARTICLE-HOLE MODEL
SHELL MODELS
SO GROUPS
SYMMETRY
SYMMETRY GROUPS