In this paper, we motivate the derivation of the GPE in relationship to concepts from statistical physics, highlighting a number of applications from the dynamics of a Bose-Einstein condensate to the excitations of the gas cloud. This paper may be helpful for encouraging the discussion of modern...
We study the numerical solution of the time-dependent Gross–Pitaevskii equation (GPE) describing a Bose–Einstein condensate (BEC) at zero or very low tem... JPA Markowich - 《Journal of Computational Physics》 被引量: 495发表: 2003年 Derivation of the Gross-Pitaevskii Hierarchy for the Dynam...
A general method for conserving quantities related to potential vorticity in numerical models NonlinearityR. Salmon, “A General Method for Conserving Quantities Related to Potential Vorticity in Numerical Models,” Inst. of Physics Publishing, ... Salmon,Rick - 《Nonlinearity》 被引量: 72发表: 2005...
especially the systems consisting of ZnCl2. The improvement of the Arrhenius equation has attracted significant research interests in the study of the temperature dependence of viscosity. From the view of mathematics without the consideration of the physics, the Arrhenius equation consists of only two ...
I have seen all of the mathematical proof (the derivation of the Bernoulli equation), observed it in practice (using a U-tube manometer) and read some analogies to GPE to KE, but I still don't underdstand, physically how this can happen. If someone has a good explanation, I would lov...
I Masakazu - 《Progress of Theoretical Physics》 被引量: 9发表: 1981年 Approximate mean-field equations of motion for quasi-2D Bose-Einstein condensate systems We present a method for approximating the solution of the three-dimensional, time-dependent Gross-Pitaevskii equation (GPE) for Bose-Einst...
R Kollár,RL Pego - 《Physics》 被引量: 46发表: 2011年 Second order averaging for the nonlinear Schrödinger equation with strongly anisotropic potential Laguerre-Hermite pseudo-spectral method.We consider the three dimensional Gross-Pitaevskii equation\\break (GPE) describing a Bose-Einstein Condensa...
2021, Computer Physics Communications Citation Excerpt : Several software packages for solving the GPE were deposited in the CPC Program Library. The spatial discretization is generally based on spectral [16,22–24], finite-elements [25,26] or finite-difference [27–32] methods. Provided programs...
A method implemented here for the numerical solution of the GPE consists in obtaining the Hartree potential iteratively, starting with the Thomas Fermi approximation to this potential. The energy eigenvalues and the corresponding wave functions for each successive potential are obtained by a spectral ...
lowest-energy state has one or more nodes. This may be relevant for the observation of stable vortex states. We also study the limit of strong non-linearity of GPE obtained for large values of the modulus of the chemical potential m. In this limit a Thomas-Fermi approximation holds for rep...