Numerov extension of transparent boundary conditions for the Schrödinger equation in one dimension.

Autor:	Moyer, Curt A.
Předmět:	WAVE functions QUANTUM theory BOUNDARY value problems RADIOACTIVE decay GALLIUM arsenide ELECTRON scattering
Zdroj:	American Journal of Physics; Mar2004, Vol. 72 Issue 3, p3251-358, 8p, 9 Graphs
Abstrakt:	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. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
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