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本文在文献[1]的基础上研究了光子消灭算符高次幂αk(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。Based on the reference [1] , the mathematical and quantum statistical properties of the orthonormalized eigenstates of operator αk (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.
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