Open Access
Translator Disclaimer
March 2010 A coherent semiclassical transport model for pure-state quantum scattering
Shi Jin, Kyle A. Novak
Commun. Math. Sci. 8(1): 253-275 (March 2010).

Abstract

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.

Citation

Download Citation

Shi Jin. Kyle A. Novak. "A coherent semiclassical transport model for pure-state quantum scattering." Commun. Math. Sci. 8 (1) 253 - 275, March 2010.

Information

Published: March 2010
First available in Project Euclid: 23 February 2010

zbMATH: 1191.82043
MathSciNet: MR2655909

Subjects:
Primary: 65M06 , 65Z05 , 81Q20 , 81S30 , 81T80

Keywords: Coherent , Liouville , Multiscale method , quantum barrier , semiclassical limit

Rights: Copyright © 2010 International Press of Boston

JOURNAL ARTICLE
23 PAGES


SHARE
Vol.8 • No. 1 • March 2010
Back to Top