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The <Emphasis Type="Italic">q</Emphasis>-Analogues of Squeezed States and Some Properties
Authors:Xiang-guo Meng  Ji-suo Wang
Institution:(1) Department of Physics, Liaocheng University, 252059 Liaocheng, Shandong, P. R. China
Abstract:In this paper we shall introduce two q-analogues of the squeezed states in terms of the technique of integration within an ordered product of operators and the properties of the inverses of q-deformed annihilation and creation operators, and some nonclassical properties of the states are examined. Furthermore, we obtain some new completeness relations composed of the bra and ket which are not mutually Hermitian conjugate. PACS numbers: 03.65.-w; 45.50.Ct. Work supported by the National Natural Science Foundation of China under Grant 10574060 and the Natural Science Foundation of Shandong Province of China under Grant Y2004A09.
Keywords:q-analogues of the squeezed state  quadrature squeezing  amplitude-squared squeezing  antibunching effect
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