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Nuclear Physics A

ドリップライン原子核の集団励起に対する座標空間Hartree-Fock-Bogoliubov形式による連続線形応答

Mamoru Matsuo

Published Jan 1, 2001• 0 citations
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NONLINEAR DISPLACED FOCK STATE REPRESENTATION

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As a generalization of the nonlinear coherent states we construct nonlinear displaced Fock states (NLDFS). In contrast to the ordinary displaced Fock state, two kinds of NLDFS are introduced, which are composed by nonlinear displacing operator on the nonlinear Fock states Df(α)| n>f and [Formula: see text]. The over-completeness relation for NLDFS is obtained by virtue of the generalized technique of integration within an ordered product of operators. Generation of some kind of NLDFS is briefly discussed.

Modern Physics Letters B•Feb 28, 2001•1 citation
A Fock representation of q-commutation relation is studied by constructing a q-Fock space as the space of the representation, the q-creation and q-annihilation operators (-1 < q < 1). In the case of 0 < q < 1, the q-Fock space is interpolated between the Boson Fock space and the full Fock space. Also, a unitary decomposition of the q-Fock space (q  ≠  0)(q\;{\neq}\;0)(q=0) is studied.
As a generalization of the nonlinear coherent states we construct nonlinear displaced Fock states (NLDFS). In contrast to the ordinary displaced Fock state, two kinds of NLDFS are introduced, which are composed by nonlinear displacing operator on the nonlinear Fock states Df(α)| n>f and [Formula: see text]. The over-completeness relation for NLDFS is obtained by virtue of the generalized technique of integration within an ordered product of operators. Generation of some kind of NLDFS is briefly discussed.