q变形玻色湮没算符三次幂的本征态及其性质

EIGENSTATES OF OPERATOR a3q AND THEIR PROPERTIES

本文构造了ｑ变形玻色湮没算符三次幂ａ３ｑ的三个正交归一本征态，研究了它们的数学结构和量子统计性质，发现这些本征态均具有非经典效应，它们组成一个以经典ｑ变形光场态作基矢的完备表象．

The orthonormalized eigenstates of operator a3q are constructed, and their mathematical and quantum statistical properties are studied. It is found that all the orthonormalized eigenststes have nonclassical effects and they form a q-deformed non-classical complete representation.