紧致空间中辐射场的统计性质(英文)

Statistical Properties of Radiation Fields in a Compact Space

通过对有限紧致空间中辐射场的研究来讨论腔中的原子-辐射场耦合系统.利用T(1)×SO(4)群的表示,给出了辐射场的单粒子波函数以及相应的色散关系.由此详细讨论了紧致空间中辐射场的玻色-爱因斯坦统计.发现其性质与空间的几何性质(曲率半径)有显著的依赖关系,并表现与通常黑体辐射系统的显著差异.

In this paper, we discuss radiation fields in a compact space of finite size instead of that in a cavity for investigating the coupled atom-radiation field system. Representations of T（1） × SO（4） group are used to give a formulation for kinematics of the radiation fields. The explicit geometrical parameter dependence of statistical properties of radiation fields is obtained. Our results show remarkable differences from those of the black-body radiation system in free space.