Radiative Transport Equation for Bloch Electrons in Electromagnetic Fields
Manabu Machida
TL;DR
This paper derives a radiative transport equation for Bloch electrons in electromagnetic fields, accounting for weak random potentials, using asymptotic expansion techniques.
Contribution
It introduces a novel derivation of the radiative transport equation for Bloch electrons under electromagnetic influence with weak disorder.
Findings
Derived a new radiative transport equation for Bloch electrons
Applied asymptotic expansion to incorporate electromagnetic fields
Provides a theoretical framework for electron transport in periodic potentials
Abstract
The radiative transport equation for the Schr\"odinger equation in a periodic potential with a weak random potential in electromagnetic fields is derived using asymptotic expansion.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Numerical methods in inverse problems · Random lasers and scattering media