Coupling one-dimensional time-dependent classical and quantum transport models
- 1 January 2002
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 43 (1) , 1-24
- https://doi.org/10.1063/1.1421635
Abstract
A transient model for one-dimensional charge transport in an open quantum system is proposed. In the semiclassical limit, it reduces to the inflow boundary value problem for the classical transport equation. On this basis, the coupling of classical and quantum transport models through an interface is investigated. Suitable interface conditions are derived through asymptotic formulas involving the quantum reflection–transmission coefficients and time delays.Keywords
This publication has 16 references indexed in Scilit:
- The quantum Child-Langmuir problemNonlinear Analysis, 1998
- A Hybrid Kinetic-Quantum Model for Stationary Electron TransportJournal of Statistical Physics, 1998
- Numerically Absorbing Boundary Conditions for Quantum Evolution EquationsVLSI Design, 1998
- On a one-dimensional Schrödinger-Poisson scattering modelZeitschrift für angewandte Mathematik und Physik, 1997
- Theoretical analysis of a branch line quantum directional couplerApplied Physics Letters, 1994
- Effect of cathode spacer layer on the current-voltage characteristics of resonant tunneling diodesApplied Physics Letters, 1990
- Boundary conditions for open quantum systems driven far from equilibriumReviews of Modern Physics, 1990
- The quantum transmitting boundary methodJournal of Applied Physics, 1990
- Absorbing boundary conditions for the simulation of quantum transport phenomenaTransport Theory and Statistical Physics, 1989
- Wigner-function model of a resonant-tunneling semiconductor devicePhysical Review B, 1987