【摘要】 研究了有限维希尔伯特空间 q-形变谐振子的能级结构 ,构造了有限维希尔伯特空间 q-形变谐振子的相干态 .发现由于空间维数的有限性以及形变参数的影响 ,谐振子的能级结构和动力学行为与普通谐振子有很大差别 ,相干态也与 Glauber相干态截然不同更多还原

【Abstract】 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.更多还原