TL;DR
This paper investigates the behavior of particles moving in periodic potentials across classical, quantum, and semiclassical frameworks, providing new insights into their asymptotic velocity distributions.
Contribution
It presents novel results on the distribution of asymptotic velocities in periodic potentials across different physical regimes.
Findings
Distribution of asymptotic velocities characterized
Results applicable to classical, quantum, and semiclassical systems
New theoretical insights into particle motion in periodic potentials
Abstract
We consider motion in a periodic potential in a classical, quantum, and semiclassical context. Various results on the distribution of asymptotic velocities are proven.
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