量子扩散方程的导出和相干态在扩散通道中的演化

The Derivation of Quantum Diffusion Equation and the Evolution of Coherent States in Diffusion Channels

我们利用相干态表象将经典扩散方程自然地推广到量子力学形式,并讨论了相干态在扩散通道中的演化问题,发现相干纯态在扩散通道中会演化为混态,并给出任意时刻的终态表达式。同时,我们得到光子数在扩散通道中会增加。

By cohevent state representation,we drew a quantum form from the classical diffusion equation,We extend the classical diffusion equation to the quantum form by coherent state representation,followed with a discussion on the evolution of coherent states in diffusion channels.The result showed that the coherent states can evolve into mixed states in the diffusion channels,and its final expression.Then was deduced.Also,the number of photons can increase in the diffusion channel.