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ON A q-FOCK SPACE AND ITS UNITARY DECOMPOSITION
Ji, Un-Cig,Kim, Young-Yi Korean Mathematical Society 2006 대한수학회보 Vol.43 No.1
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 $(q\;{\neq}\;0)$ is studied.