Jens Marklof (Bristol)

Quantum transport in a low-density periodic potential

Erdos and Eng proved that the linear Boltzmann equation describes the Boltzmann-Grad limit of the quantum dynamics in a low-density random potential. We will discuss the same limit for a periodic potential, and show that up to second order in the coupling constant the result agrees with the linear Boltzmann equation. We conjecture, however, that higher-order terms do not agree with the linear Boltzmann equation. This is joint work with Jory Griffin.