光子消灭算符四次幂的本征态及其量子统计性质

Orthonormalized Eigenstates of Operator a￣4 and Their Quantum Statistical Properties

本文利用粒子数表象中的完备性关系求解了光子消灭算符四次幂的本征值方程，得到了四重简并的本征态表示式．由此研究了它们的量子统计性质．计算结果表明光子消灭算将四次幂的四重简并的本征态没有压缩效应，当｜α｜２取一定范围内的值时，表现出反聚束效应．

in this paper, We have solved egenvalues equation of operator a4 by using complete relation of particle namber representation and Obtained an expression of the four eigenfunction. Then we have investicated quantum statistical properties of eigenfunctions.