Boson-fermion mappings for odd systems from supercoherent states

Journal Article · Mon Nov 01 04:00:00 EST 1993 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.48.2313· OSTI ID:5916491

Dobaczewski, J; Scholtz, F G; Geyer, H B ^[1]

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1. Institute of Theoretical Physics, University of Stellenbosch, Stellenbosch 7600 (South Africa)

We extend the formalism whereby boson mappings can be derived from generalized coherent states to boson-fermion mappings for systems with an odd number of fermions. This is accomplished by constructing supercoherent states in terms of both complex and Grassmann variables. In addition to a known mapping for the full so(2[ital N]+1) algebra, we also uncover some other formal mappings, together with mappings relevant to collective subspaces.

• OSTI ID: 5916491
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Journal Name: Physical Review, C (Nuclear Physics); (United States) Vol. 48:5; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

663120* -- Nuclear Structure Models & Methods-- (1992-)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ALGEBRA
BANACH SPACE
BOSONS
COLLECTIVE MODEL
FERMIONS
HILBERT SPACE
INTERACTING BOSON MODEL
LIE GROUPS
MAPPING
MATHEMATICAL MODELS
MATHEMATICAL SPACE
MATHEMATICS
NUCLEAR MODELS
NUCLEAR STRUCTURE
SHELL MODELS
SO GROUPS
SPACE
SYMMETRY GROUPS