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Hermitian treatment of Dyson boson theory

Journal Article · · Phys. Rev. C; (United States)

A great merit of the Dyson boson mapping theory is in its finiteness of boson expansion, but the demerit is in the non-Hermiticity of the Hamiltonian in the boson space. This demerit can be overcome by using the Hermitian treatment proposed in a previous paper. Given here is a precise proof of the method, by which the insufficient explanation in the previous paper is supplemented and the limit of applicability of the treatment is clarified.

Research Organization:
Department of Physics, Kyushu University, Fukuoka 812, Japan
OSTI ID:
7083707
Journal Information:
Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 38:5; ISSN PRVCA
Country of Publication:
United States
Language:
English

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Related Subjects

653001* -- Nuclear Theory-- Nuclear Structure
Moments
Spin
& Models
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BOSON EXPANSION
BOSONS
COLLECTIVE MODEL
DIFFERENTIAL EQUATIONS
DYSON REPRESENTATION
EIGENVALUES
EIGENVECTORS
EQUATIONS
HAMILTONIANS
HERMITIAN OPERATORS
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATRIX ELEMENTS
NUCLEAR MODELS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM OPERATORS
SCHROEDINGER EQUATION
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS
WAVE EQUATIONS