Boson expansion based on the extended commutator method in the Tamm-Dancoff representation
Formal aspects of boson expansions in the Tamm-Dancoff representation are investigated in detail. This is carried out in the framework of the extended commutator method by solving in complete generality the coefficient equations, searching for Hermitian as well as non-Hermitian boson expansions. The solutions for the expansion coefficients are obtained in a new form, called the square root realization, which is then applied to carry out an analysis of the relationship between the type of expansion and the boson space in which the expansion is defined. It is shown that this new realization is reduced to various well-known boson theories when the boson space is chosen in an appropriate manner. Further discussed, still on the basis of the square root realization, is the equivalence, on a practical level, of a few boson expansion approaches when the Tamm-Dancoff space is truncated to a single quadrupole collective component.
- Research Organization:
- Department of Physics, University of Texas, Austin, Texas 78712
- OSTI ID:
- 5908807
- Journal Information:
- Phys. Rev. C; (United States), Vol. 28:1
- Country of Publication:
- United States
- Language:
- English
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