光子消灭算符高次幂本征态的数学结构及其性质

本文在文献[1]的基础上研究了光子消灭算符高次幂α^k(k≥3)的正交归一本征态的数学和量子统计性质,指出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。在此之前,文献[1]讨论的k=3的情况只是我们所得普遍性结论的特例。关键词：

MATHEMATICAL STRUCTURE OF THE EIGENSTATES OF OPERATOR ak AND THEIR PROPERTIES

Based on the reference [1] , the mathematical and quantum statistical properties of the orthonormalized eigenstates of operator α^k (k=3) are studied in this paper. It is found that all the orthonormalized eigenstates have nonclassical effects and they form a nonclassical complete representation. The result given by the reference [1] in the case k = 3 is only a special instance of the general conclusion of ours.