双参数变形玻色湮没算符高次幂的本征态及其量子统计性质

EIGENSTATES AND QUANTUM STATISTICAL PROPERTIES OF THE HIGH POWERS OF THE BOSONIC ANNIHILATION OPERATOR WITH TWO-PARAMETER DEFORMATION

本文构造了双参数变形玻色湮没算符高次幂ａ＇￣ｋ（ｋ≥３）的ｋ个正交归一木征态的数学结构，发现它们能构成一个完备的Ｈｉｌｂｅｒｔ空间，并且讨论了它们的量子统计性质。

The mathematical structure of k orthonormalized eigenstates of the high powers a'k(k≥3)of the bosonic annihilation operator with two-parameter deformation are constructed. It is found thatthey form a complete Hilbert space ,and the quantum statistical properties are discussed.