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We compute the photon number distribution, the Q distribution function andthe wave functions in the momentum and position representation for a singlemode squeezed number state using generating functions which allow to obtain anymatrix element in the squeezed number state representation from the matrixelements in the squeezed coherent state representation. For highly squeezednumber states we discuss the previously unnoted oscillations which appear inthe Q function. We also note that these oscillations can be related to thephoton-number distribution oscillations and to the momentum representation ofthe wave function.

On the squeezed number states and their phase space representations