本文通过对比经典扩散方程和量子力学薛定谔方程的相似性,讨论了物理方程的时间反演不变性.尽管量子波包扩散与经典粒子扩散的行为具有某种共同特征,但本质上仍然是不同的.扩散的量子波包在时间反演下仍然是呈现为扩散,而时间反演不变性依然成立.当两个量子波包交叠时,会出现干涉现象.

By comparing the similarity of diffusion equation and the Schrödinger equation, the paper addresses the time-reversal invariance of the physical equations. Although the diffusion of a quantum wavepacket exhibits the same characteristics as the classical particles, it is essentially different. The diffusive matter wave remains diffuse even though the time is reversed while the time-reversal invariance holds. As two wavepackets overlap, it reveals the phenomenon of interference.