The Liouville equation for singular ergodic magnetic Schr\"odinger operators
Mathematical Physics
2009-10-10 v2 math.MP
Abstract
We study the time evolution of a density matrix in a quantum mechanical system described by an ergodic magnetic Schr\"odinger operator with singular magnetic and electric potentials, the electric field being introduced adiabatically. We construct a unitary propagator that solves weakly the corresponding time-dependent Schr\"odinger equation, and solve a Liouville equation in an appropriate Hilbert space.
Keywords
Cite
@article{arxiv.0811.3960,
title = {The Liouville equation for singular ergodic magnetic Schr\"odinger operators},
author = {Yang Kang and Abel Klein},
journal= {arXiv preprint arXiv:0811.3960},
year = {2009}
}
Comments
22 pages, revised with slight change in title