波动周期势场中波包的扩散传播
Diffusive propagation of wave packets in a fluctuating periodic potential
摘要：
研究了紧束缚波包在涨落周期势场中的演化。如果波动源于一个平稳的马尔可夫过程满足一定的技术标准，我们表明，扩散重新标度后的波包的平方振幅收敛到热方程的解的叠加。
英文摘要：
We consider the evolution of a tight binding wave packet propagating in a fluctuating periodic potential. If the fluctuations stem from a stationary Markov process satisfying certain technical criteria, we show that the square amplitude of the wave packet after diffusive rescaling converges to a superposition of solutions of a heat equation.
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