Nonunitary nature of the Dyson boson mapping revisited

Journal Article · Tue Jun 01 04:00:00 EDT 1993 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.47.2998· OSTI ID:6771035

Sheikh, J A ^[1]; Gupta, M ^[2]

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1. Tata Institute of Fundamental Research, Bombay, 400005 (India)
2. Department of Physics, University of Bombay, Bombay, 400098 (India)

The nonunitary character of the Dyson boson mapping is explored in a model case with the monopole pairing interaction. It is shown that because of the very special form of this interaction, the calculations in the intrinsic state formalism with the particle-particle representation of the Hamiltonian reproduce the exact results of the original fermion space. In contrast, we show that with the particle-hole representation of the Hamiltonian the intrinsic state approach produces erroneous results. Of course, upon employing the physical boson states we recover the exact results in the particle-hole represenation as well.

• OSTI ID: 6771035
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Journal Name: Physical Review, C (Nuclear Physics); (United States) Vol. 47:6; 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
BOSON EXPANSION
COLLECTIVE MODEL
DYSON REPRESENTATION
HAMILTONIANS
INTERACTIONS
MAPPING
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
NUCLEAR MODELS
PAIRING INTERACTIONS
PARTICLE-HOLE MODEL
QUANTUM OPERATORS
SHELL MODELS
UNITARITY