论文标题
电磁场的量子分布
Quantum Distributions for the Electromagnetic Field
论文作者
论文摘要
根据波浪方程的库奇问题以及由哈密顿系统的合奏来讨论经典波的相干性能。波量子与特定的“动作场”有关,声子和光子的相空间分布是通过Wigner Transform获得的。对于热环境中的光子,提出的Wigner函数向普朗克平衡分布演变。结果表明,自由电磁场也可以在确定的螺旋性状态中找到,这是由复杂的矢量电势描述的。
The coherence properties of the classical waves are discussed in terms of the Cauchy problem for the wave equation, and of a discrete representation by an ensemble of Hamiltonian systems. Wave quanta are related to specific "action fields", and phase-space distributions of phonons and photons are obtained by Wigner transform. For photons in a thermal environment, the proposed Wigner function evolves towards the Planck equilibrium distribution. It is shown that the free electromagnetic field can also be found in states of definite helicity, described by a complex vector potential.