Comment on Skeleton boson realizations of collective subalgebras''

Journal Article · Fri Dec 01 04:00:00 EST 1989 · Physical Review (Section) C: Nuclear Physics; (USA)

DOI:https://doi.org/10.1103/PhysRevC.40.2930· OSTI ID:7162976

Kuchta, R ^[1]

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1. Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, SU 101 000 Moscow, U.S.S.R. (SU)

The skeleton boson realizations of fermion collective subalgebras proposed by Kim and Vincent are discussed. The Dyson boson mapping is found to play an essential role in the possibility of such realizations. A simple but instructive example is given to show that a straightforward application of the skeletonization procedure'' to the Holstein-Primakoff boson mapping may lead to serious errors in reproducing the fermion matrix elements. A possible way of constructing the modified skeleton Holstein-Primakoff realization of the collective subalgebra is suggested.

• OSTI ID: 7162976
• Journal Information: Physical Review (Section) C: Nuclear Physics; (USA), Journal Name: Physical Review (Section) C: Nuclear Physics; (USA) Vol. 40:6; ISSN 0556-2813; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

653001* -- Nuclear Theory-- Nuclear Structure
Moments
Spin
& Models
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BOSON EXPANSION
BOSONS
COLLECTIVE MODEL
DYSON REPRESENTATION
FERMIONS
LIE GROUPS
MATHEMATICAL MODELS
MATRIX ELEMENTS
NUCLEAR MODELS
PARTICLE MODELS
PAULI PRINCIPLE
SINGLE-PARTICLE MODEL
SO GROUPS
SYMMETRY GROUPS