Numerov extension of transparent boundary conditions for the Schrödinger equation in one dimension
نویسنده
چکیده
We describe an algorithm for animating time-dependent quantum wave functions in one dimension with very high accuracy. The algorithm employs the Crank–Nicholson approximation for the time dependence along with a Numerov extension of the discrete transparent boundary conditions described recently by Ehrhardt. We illustrate the power of this approach by simulating the decay of alpha particles from radioactive nuclei and the resonance scattering of electrons in a three-layer GaAs–GaAlAs sandwich. © 2004 American Association of Physics Teachers. @DOI: 10.1119/1.1619141#
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