Boson-fermion mappings for odd systems from supercoherent states

Journal Article · Mon Nov 01 00:00:00 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), Vol. 48:5; ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

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