A Semiclassical Transport Model for Thin Quantum Barriers

Abstract

We present a one-dimensional time-dependent semiclassical transport model for mixed state scattering with thin quantum barriers. The idea is to solve a stationary Schrodinger equation in the thin quantum barrier to obtain the scattering coefficients, and then use them to supply the interface condition that connects the two classical domains. We then build in the interface condition to the numerical flux, in the spirit of the Hamiltonian-preserving scheme introduced by Jin and Wen for a classical barrier. The overall cost is roughly the same as solving a classical barrier. We construct a numerical method based on this semiclassical approach and validate the model using various numerical examples.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 2006
Accession Number
ADA444718

Entities

People

  • Kyle A. Novak
  • Shi Jin

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Current Density
  • Differential Equations
  • Dynamics
  • Electrons
  • Equations
  • Integrals
  • Liouville Equation
  • Mechanics
  • Partial Differential Equations
  • Probability
  • Quantum Mechanics
  • Quantum Tunneling
  • Resonant Tunneling Diodes
  • Semiconductors
  • Simulations
  • Tunnel Diodes

Readers

  • Calculus or Mathematical Analysis
  • Computational Fluid Dynamics (CFD)
  • Quantum Dot Semiconductor Device Photonics and Graphene Optoelectronic Materials and THz Physics.

Technology Areas

  • Quantum Computing