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本文利用单个能级原子与单模辐射场相互作用的Jaynes-Cummings模型找到在热平衡下原子—辐射场系统的匹配分函数。由型典的统计力学方法,从求在共振情况下辐射场光子数和其平方的平均值导得场的二阶相关函数g~(2)(0),并计算出整个系统的熵。主要结论是(1).在高温极限下,g~(2)(0)(?)2—典型的热场的值。(2).在低温极限下,在一很小的温度范围内g~(2)(0)将从2陡增至∞,然后迅速下降到小于1。(3).熵随温度的起伏反映了平均光子数随温度的起伏。
In this paper, the Jaynes-Cummings model of the interaction between a single energy level atom and a single-mode radiation field is used to find the matching fractional function of the atom-radiation field system under thermal equilibrium. From the classical statistical mechanics method, the second order correlation function g ~ (2) (0) of the field is derived from the average of the photon numbers of the radiation field and its square under the resonance condition, and the entropy of the whole system is calculated. The main conclusions are (1). At high temperature limit, g ~ (2) (0) (?) 2-typical thermal field values. (2) At low temperature, g ~ (2) (0) will sharply increase from 2 to ∞ within a small temperature range and then rapidly drop to below 1. (3) The variation of entropy with temperature reflects the fluctuation of average photon number with temperature.