Sepehrinia Reza
Department of Physics, University of Tehran, Tehran 14395-547, Iran.
Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Apr;91(4):042109. doi: 10.1103/PhysRevE.91.042109. Epub 2015 Apr 9.
We present a rigorous study of quantum diffusion of a relativistic particle subjected to a time-dependent random potential with δ correlation in time. We find that in the asymptotic time limit the particle wave packet spreads ballistically in contrast with the nonrelativistic case, which in the same situation exhibits superballistic diffusion. The relativistic suppression of wave packet diffusion is discussed in connection with statistical conservation laws that follow from relativistic dynamics.
我们对相对论粒子在具有时间δ关联的含时随机势场中的量子扩散进行了严谨研究。我们发现，在渐近时间极限下，粒子波包呈弹道式扩散，这与非相对论情形相反，在非相对论情形中，相同情况下会出现超弹道扩散。结合相对论动力学导出的统计守恒定律，讨论了波包扩散的相对论性抑制。
