• Title of article

    Transparent boundary conditions for quantum-waveguide simulations Original Research Article

  • Author/Authors

    Anton Arnold، نويسنده , , Maike Schulte، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2008
  • Pages
    8
  • From page
    898
  • To page
    905
  • Abstract
    We consider the two-dimensional, time-dependent Schrödinger equation discretized with the Crank–Nicolson finite difference scheme. For this difference equation we derive discrete transparent boundary conditions (DTBCs) in order to get highly accurate solutions for open boundary problems. We apply inhomogeneous DTBCs to the transient simulation of quantum waveguides with a prescribed electron inflow.
  • Keywords
    Transparent boundary condition , Finite difference scheme , Schr?dinger equation , Quantum waveguide
  • Journal title
    Mathematics and Computers in Simulation
  • Serial Year
    2008
  • Journal title
    Mathematics and Computers in Simulation
  • Record number

    854592