Unified theory of fermion pair to boson mappings in full and truncated spaces

Journal Article · Sat Apr 01 04:00:00 EST 1995 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.51.1861· OSTI ID:6548602

Ginocchio, J N; Johnson, C W ^[1]

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1. Theoretical Division, T-5, MS B283, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)

After a brief review of various mappings of fermion pairs to bosons, we rigorously derive a general approach. Following the methods of Marumori and Otsuka, Arima, and Iachello, our approach begins with mapping states and constructs boson representations that preserve fermion matrix elements. In several cases these representations factor into finite, Hermitian boson images times a projection or norm operator that embodies the Pauli principle. We pay particular attention to truncated boson spaces, and describe general methods for constructing Hermitian and approximately finite boson image Hamiltonians. This method is akin to that of Otsuka, Arima, and Iachello introduced in connection with the interacting boson model, but is more rigorous, general, and systematic.

• OSTI ID: 6548602
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Journal Name: Physical Review, C (Nuclear Physics); (United States) Vol. 51:4; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

661100* -- Classical & Quantum Mechanics-- (1992-)
663120 -- Nuclear Structure Models & Methods-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BOSONS
FERMIONS
HAMILTONIANS
INTERACTING BOSON MODEL
MAPPING
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATRIX ELEMENTS
NUCLEAR MODELS
PAULI PRINCIPLE
QUANTUM OPERATORS
SHELL MODELS