Gross-pitaevskii equation - Open Access .click

International Journal of Geometric Methods in Modern Physics, 2023
In this paper, we consider the generalization of Gross Pitaevskii equation for condensate of bosons with nonextensive statistics. First, we use the non-additive methods and formalism to obtain the well-known Schrödinger equation. Using a suitable Hamiltonian for condensate phase and minimizing the free energy of the system by non-additive formalism, we
M. Maleki, H. Mohammadzadeh, Zahra Ebadi
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Gross‐Pitaevskii equation: Variational approach

physica status solidi (c), 2005
In this paper we present an analytical method for solving the Gross-Pitaevskii equation for the Bose-Einstein condensation in the dilute atomic alkali gases. Using a variational ansatz, we are able to obtain an analytical solution for the order parameter and for the chemical potential as a function of a unique universal parameter: λ/(ħ ω l) (l is the ...
Julio C. Drake Perez +4 more
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Numerical solution for the Gross–Pitaevskii equation

Journal of Mathematical Chemistry, 2006
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Hua, Wei, Liu, Xueshen, Ding, Peizhu
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Controllable nonautonomous localized waves and dynamics for a quasi-1D Gross-Pitaevskii equation in Bose-Einstein condensations with attractive interaction.

Chaos
This paper investigates dynamical behaviors and controllability of some nonautonomous localized waves based on the Gross-Pitaevskii equation with attractive interatomic interactions.
Haotian Wang, Hujiang Yang, Ye Tian, Wenjun Liu +3 more
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physics
mathematics
gross–pitaevskii equation

quantum mechanics
bose–einstein condensate
mathematical physics

computer science
mathematical analysis
classical mechanics