Lattice Quantum Mechanics: An Application to Bose–Einstein Condensation
Abstract
A lattice formulation of nonrelativistic quantum mechanics is presented, based on a formal analogy with discrete kinetic theory. The method is applied to the Gross–Pitaevski equation, a specific form of self-interacting nonlinear Schrödinger equation relevant to the study of Bose–Einstein condensation.
This paper was presented at the 7th Int. Conf. on the Discrete Simulation of Fluids held at the University of Oxford, 14–18 July 1998.
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