Generalized q-deformation coherent states of a non-harmonic oscillator in a finitedimensional Hilbert space are constructed and their quantum statistical properties are discussed. It is shown that there are squeezing and antibunching properties in these quantum states.
The energy level structure of the q deformed harmonic oscillator in a finite dimensional Hilbert space is studied.The Coherent states of the q deformed harmonic oscillator in a finite dimensional Hilbert space are constructed.It is shown that the energy level structure and the dynamic action are very different from that of usual harmonic oscillator due to the finiteness of the dimension of Hilbert space and the deformation parameter′s influence,and the coherent states are different from the Glauber coherent states.