Transparent boundary conditions for quantum-waveguide simulations

نویسندگان

  • Anton Arnold
  • Maike Schulte
چکیده

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.

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عنوان ژورنال:
  • Mathematics and Computers in Simulation

دوره 79  شماره 

صفحات  -

تاریخ انتشار 2008