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Lattice Boltzmann Equation for Relativistic Quantum Mechanics

Sauro Succi
Philosophical Transactions: Mathematical, Physical and Engineering Sciences
Vol. 360, No. 1792, Discrete Modelling and Simulation of Fluid Dynamics (Mar. 15, 2002), pp. 429-436
Published by: Royal Society
Stable URL: http://www.jstor.org/stable/3066322
Page Count: 8
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Lattice Boltzmann Equation for Relativistic Quantum Mechanics
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Abstract

Relativistic versions of the quantum lattice Boltzmann equation are discussed. It is shown that the inclusion of nonlinear interactions requires the standard collision operator to be replaced by a pair of dynamic fields coupling to the relativistic wave function in a way which can be described by a multicomponent complex lattice Boltzmann equation.

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