Notes on coherent backscattering from a random potential

TL;DR

This paper derives a formula for the backscattering rate in quantum scattering from a random potential using maximally crossed diagrams, linking it to the Green's function of the kinetic Boltzmann equation, with brief discussion on wave scattering.

Contribution

It provides a concise formula for the backscattering rate based on maximally crossed diagrams and Green's functions, extending understanding of quantum scattering in random potentials.

Findings

Derived a formula for backscattering rate

Connected backscattering to Green's function of Boltzmann equation

Discussed extension to wave scattering

Abstract

We consider the quantum scattering from a random potential of strength $\lambda^{1/2}$ and with a support on the scale of the mean free path, which is of order $\lambda^{-1}$. On the basis of maximally crossed diagrams we provide a concise formula for the backscattering rate in terms of the Green's function for the kinetic Boltzmann equation. We briefly discuss the extension to wave scattering.