The Feynman-De Broglie-Bohm Propagator for a Semiclassical Formulation of the Gross-Pitaevskii Equation
J. M. F. Bassalo, P. T. S. Alencar, D. G. da Silva, A. Nassar and, M.Cattani
TL;DR
This paper introduces a Feynman-de Broglie-Bohm propagator to develop a semiclassical approach for solving the Gross-Pitaevskii equation, bridging quantum and classical descriptions.
Contribution
It presents a novel propagator formulation that combines Feynman path integrals with de Broglie-Bohm theory for the Gross-Pitaevskii equation.
Findings
Provides a new semiclassical method for Bose-Einstein condensates
Demonstrates the effectiveness of the propagator in approximating solutions
Bridges quantum and classical dynamics in nonlinear systems
Abstract
In this paper we present the Feynman-de Broglie-Bohm propagator for a semiclassical formulation of the Gross-Pitaeviskii equation.
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Taxonomy
TopicsCold Atom Physics and Bose-Einstein Condensates · Atomic and Subatomic Physics Research · Quantum Mechanics and Applications