Results 31 to 40 of about 32,263 (260)
Exactly solvable Gross–Pitaevskii type equations
Journal of Physics Communications, 2021 TWe suggest a method to construct exactly solvable Gross-Pitaevskii type equations, especially the variable-coefficient high-order Gross-Pitaevskii type equations. We show that there exists a relation between the Gross-Pitaevskii type equations. The Gross-Pitaevskii equations connected by the relation form a family.
Yuan-Yuan Liu, Wen-Du Li, Wu-Sheng Dai
openaire +2 more sources
Results in Physics, 2023 This study applies computational and numerical techniques to develop some novel and accurate solutions for Gross–Pitaevskii (GP) equations. A quantum system of identical bosons is described using the Hartree–Fock approximation and pseudopotential ...
Mostafa M.A. Khater +3 more
doaj +1 more source
New Dynamics of the Classical and Nonlocal Gross-Pitaevskii Equation with a Parabolic Potential [PDF]
, 2020 Shimin Liu, Wu Hua, Da-Jun Zhang
openalex +3 more sources
Stochastic projected Gross-Pitaevskii equation [PDF]
Physical Review A, 2012 We have achieved the first full implementation of the stochastic projected Gross-Pitaevskii equation for a three-dimensional trapped Bose gas at finite temperature. Our work advances previous applications of this theory, which have only included growth processes, by implementing number-conserving scattering processes. We evaluate an analytic expression
Rooney, S. J. +2 more
openaire +2 more sources
The stochastic Gross–Pitaevskii equation: II [PDF]
Journal of Physics B: Atomic, Molecular and Optical Physics, 2003 We provide a derivation of a more accurate version of the stochastic Gross-Pitaevskii equation, as introduced by Gardiner et al. (J. Phys. B 35,1555,(2002). The derivation does not rely on the concept of local energy and momentum conservation, and is based on a quasi-classical Wigner function representation of a "high temperature" master equation for a
Gardiner, C. W., Davis, M. J.
openaire +3 more sources
Results in Physics, 2023 In this paper, we investigate the nonlocal Gross–Pitaevskii equation which describes the phenomena of Bose–Einstein condensates under the mean field approximation.
Hongmei Li, Li Peng, Xuefei Wu
doaj +1 more source
Vortices in nonlocal Gross–Pitaevskii equation [PDF]
Journal of Physics A: Mathematical and General, 2004 Second revision: small changes; 23 pages; 8 ...
Shchesnovich, V. S. +1 more
openaire +3 more sources
Painlevé test of coupled Gross-Pitaevskii equations [PDF]
Journal of Physics A: Mathematical and General, 2001 13 pages, no ...
Schumayer, Dániel, Apagyi, Barnabás
openaire +3 more sources
Stochastic fluctuations in the Gross–Pitaevskii equation [PDF]
Nonlinearity, 2007 Summary: We study from a mathematical point of view a model equation for a Bose-Einstein condensation, in the case where the trapping potential varies randomly in time. The model is the so-called Gross-Pitaevskii equation, with a quadratic potential with white noise fluctuations in time.
De Bouard, Anne, Fukuizumi, Reika
openaire +2 more sources
Finite energy traveling waves for the Gross-Pitaevskii equation in the subsonic regime [PDF]
American Journal of Mathematics, 2019 :In this paper we study the existence of finite energy traveling waves for the Gross-Pitaevskii equation. This problem hasdeserved a lot of attention in the literature, but the existence of solutions in the whole subsonic range was a standing open ...
J. Bellazzini, D. Ruiz
semanticscholar +1 more source