We present a time-dependent semiclassical transport model for coherent pure-state
scattering with quantum barriers. The model is based on a complex-valued Liouville equation, with
interface conditions at quantum barriers computed from the steady-state Schrödinger equation. By
retaining the phase information at the barrier, this coherent model adequately describes quantum
scattering and interference at quantum barriers, with a computational cost comparable to that of
classical mechanics. We construct both Eulerian and Lagrangian numerical methods for this model,
and validate it using several numerical examples, including multiple quantum barriers.
@article{1266935022,
author = {Jin, Shi and Novak, Kyle A.},
title = {A coherent semiclassical transport model for pure-state quantum scattering},
journal = {Commun. Math. Sci.},
volume = {8},
number = {1},
year = {2010},
pages = { 253-275},
language = {en},
url = {http://dml.mathdoc.fr/item/1266935022}
}
Jin, Shi; Novak, Kyle A. A coherent semiclassical transport model for pure-state quantum scattering. Commun. Math. Sci., Tome 8 (2010) no. 1, pp. 253-275. http://gdmltest.u-ga.fr/item/1266935022/