光子消灭算符高次幂的本征态及其性质

ORTHONORMALIZED EIGENSTATES OF OPERATOR α~N AND THEIR PROPERTIES

本文提出一种构造光子消灭算待高次幂a^N的正交归一本征态的一般方法,并着重研究了N=3场合下正交归一本征态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,它们组成一个以非经典光场态作基矢的完备表象。

In this paper, a general method for constructing orthonormalized eigenstates of operator a^N is presented. The emphasis is put on study of mathematical structure and quantum statistical properties in the case N=3. It is found that all the orthonorma-lizetl eigenstates have nonclassical effects and they form a nonclassical complete representation.