Numerical Solution of the Schroedinger Equation using a Quantum Lattice Boltzmann Equation}

Details Numerical Solution of the Schroedinger Equation using a Quantum Lattice Boltzmann Equation} Numerical Solution of the Schroedinger Equation using a Quantum Lattice Boltzmann Equation}

1993-07-07

arxiv.org/abs/comp-gas/9307001v1

Nonlinear Sciences

Cellular Automata and Lattice Gases

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The quantum Lattice Boltzmann equation (QLBe), a new variant of the lattice Boltzmann equation, specifically designed to describe non relativistic quantum motion, is validated for the case of a free-particle in (1+1) space-time dimensions. The proper parameter regime under which the method needs to be operated in order to reproduce faithful non-relativistic quantum motion is also discussed.

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