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Numerical solution of the Schrödinger equation using discrete kinetic theory
Phys. Rev. E 53, 1969 – Published 1 February, 1996
DOI: https://doi.org/10.1103/PhysRevE.53.1969
Abstract
The quantum lattice Boltzmann equation a new variant of the lattice Boltzmann equation specifically designed to describe quantum mechanical motion, is checked against analytical results for the case of a free particle and the harmonic oscillator in (1+1) space-time dimensions. The proper parameter regime under which the method needs to be operated in order to reproduce faithfully nonrelativistic quantum motion is discussed. © 1996 The American Physical Society.
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