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• W2005729812 abstract "The idea of vector coherent state has been applied recently to the problem of deriving matrix representations of Lie algebras. Central to the application of this concept is a mapping onto a space that is the direct product of a collective (boson) space and of an intrinsic space. In this paper, it is suggested that for applications to nuclear physics, a natural realization of the intrinsic space is in terms of quasifermions that are required to be kinematically independent of the bosons. This requirement leads to operator constraints that modify the anticommutation relations of the quasifermions, but otherwise leave their algebraic relations indistinguishable from those of ordinary fermions. The various concepts as well as the relations among them are illustrated by a nuclear model with the symmetry of the unitary algebra U(n). Full calculations are carried through only for n = 3 by an algebraic method, that we have also utilized previously. For the mapping of the group generators, this technique is fully equivalent to the direct use of the vector coherent state. Here it is applied as well to the problem of mapping individual fermion operators, which is a major step toward obtaining the matrices of all shell-model tensors, reduced with respect to the collective algebra. Such a mapping of fermion operators first appeared in the literature for the case of SU(2), where it is known as the quantized Bogoliubov-Valatin transformation." @default.
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• W2005729812 date "1990-08-01" @default.
• W2005729812 modified "2023-09-27" @default.
• W2005729812 title "Generalization of the quantized Bogoliubov-Valatin transformation and relation to the method of the vector coherent state: The case of U(3)" @default.
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• W2005729812 doi "https://doi.org/10.1016/0375-9474(90)90366-t" @default.
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