Deductive inference of nuclear boson models (IBM, TQM, FQM) based on S-italicU-italic(6) dynamcial symmetry

Journal Article · Mon Sep 01 04:00:00 EDT 1986 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/0003-4916(86)90093-X· OSTI ID:5105562

Kyrchev, G; Paar, V

A single deductive inference of Schwinger realization ( = interacting boson model-IBM), Holstein-Primakoff realization ( = truncated quadrupole phonon model-TQM) and Dyson realization ( = finite quadrupole phonon model-FQM) of dynamical S-italicU-italic(6) quadrupole collective algebra (QCA) is presented with a full scope of their isomorphism on the level of representations. Dyson realization of QCA is explicitly constructed by using holomorphically parametrized generalized coherent state and explicit form of root vectors. Utilizing appropriate orthogonalizing operators Holstein-Primakoff realization of QCA has been derived from the Dyson realization. The carrier spaces of Schwinger and Holstein-Primakoff realizations are investigated on the same footing and Marshalek's boson is rigorously derived. The intertwining operator which connects Schwinger and Holstein-Primakoff realizations is constructed and its domain and image are determined. It is shown that the intertwining operator has well-defined inverse in a definite factor space of the IBM basis space which is proved to be isomorphic to the physical subspace to the TQM basis, meaning equivalence of IBM and TQM of level of representations.

• Research Organization: Instittue of Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Sofia, Bulgaria
• OSTI ID: 5105562
• Journal Information: Ann. Phys. (N.Y.); (United States), Journal Name: Ann. Phys. (N.Y.); (United States) Vol. 170:2; ISSN APNYA
• Country of Publication: United States
• Language: English

Related Subjects

653007* -- Nuclear Theory-- Nuclear Models-- (-1987)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BOSON EXPANSION
COLLECTIVE MODEL
DYSON REPRESENTATION
HAMILTONIANS
INTERACTING BOSON MODEL
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
NUCLEAR MODELS
QUANTUM OPERATORS
SHELL MODELS
SU GROUPS
SU-6 GROUPS
SYMMETRY GROUPS