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

S. Succi
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Abstract

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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S. Succi. 1993-07-07. Numerical Solution of the Schroedinger Equation using a Quantum Lattice Boltzmann Equation}. https://arxiv.org/abs/comp-gas/9307001

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