We examine how a Laguerre-polynomial-weighted chaotic photon field (LPWCPF), whose density operator is lambda(1 - lambda)(l) : L-l[-lambda(2)alpha(dagger)alpha/(1 - lambda)]e-(lambda alpha dagger alpha):, evolves in an amplitude-damping channel. By using a newly derived generating function of two-variable Hermite polynomials we obtain the evolution law of LPWCPF, which turns out to be a new LPWCPF with a new parameter, depending on 1 - e(-2 kappa t), where kappa represents decay rate. The technique of integration (summation) within an ordered product of operators is used in our discussions.
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机译：我们研究了密度算子为lambda（1-lambda）（l）的Laguerre多项式加权混沌光子场（LPWCPF）：Ll [-lambda（2）alpha（dagger）alpha /（1-lambda）] e -（λalpha匕首alpha）：在振幅衰减通道中演化。通过使用新推导的二变量Hermite多项式的生成函数，我们获得了LPWCPF的演化规律，结果证明它是具有新参数的新LPWCPF，取决于1-e（-2 kappa t），其中kappa表示衰减率。在我们的讨论中使用了操作员订购产品中的集成（求和）技术。
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