General theory of linear quantum transformation of Bargmann-Fock space
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A general theory for the linear transformation in Bargmann-Fock space ofn-mode boson system is presented. It is pointed out that the unbounded operators should not be excluded absolutely and the use of the non-unitary transformations is irresistible in many applications. The group structure of the transformation is analysed and the explicit expressions of the transformation operators in terms of normal ordering are given. As some applications, a series of useful operator identities are given and the decoupling problem for general two-boson interaction is studied.
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