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...
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 ...
The spectrum of its solutions of the equation for a quantum system of identical particles, that is the Gross-Pitaevskii equation (GPE) is derived. This application is also the subject of a blog post on MaplePrimes. Application Details Publish Date: September 30, 2016 Created In: Maple 17...
Examples of Arrhenius plots for permeability, diffusion, and solubility are given inFigs. 1.15, 1.16, and 1.17, respectively. Figure 1.15.Arrhenius plot of the permeability coefficient versus temperature for carbon dioxide through polyvinylidene fluoride.21 ...
- 《Journal of Computational Physics》 被引量: 74发表: 2007年 A general method for conserving quantities related to potential vorticity in numerical models Rick Salmon. A general method for conserving quantities related to potential vorticity in numerical models. Nonlinearity, 18(5):R1, 2005... ...
PD Robinson - 《Journal of Chemical Physics》 被引量: 13发表: 1970年 Structure of Regular Solutions of the Three-Body Schrödinger Equation near the Pair Impact Point We investigate the six-dimensional Schr枚dinger equation for a three-body system with central pair interactions of a more genera...
The theory of complex variables is used to develop exact closed-form solutions for the, in general, complex zeros of the exponential polynomial F( z) = z exp z − a( z + b), a complex and b real. The established zeros are related to canonical solutions of suitably posed Riemann prob...
stationarysolutionsequationgpe方程presilla 23October2000Ž.PhysicsLettersA2752000424–434.elsevier.nlrlocaterplaStationarysolutionsoftheGross–PitaevskiiequationwithlinearcounterpartRobertoD’Agostaa,BorisA.Malomedb,CarloPresillaa,c,)aDipartimentodiFisica,UniÕersitadiRomaALaSapienzaB,PiazzaleA.Moro2,Roma00185,It...
GPE(EFMIntegrabilityThis article possesses new exact wave structures to the Gilson–Pickering equation (GPE) that describes the prorogation of waves in plasma physics. The solutions are achieved in single and combined behavior like shock, singular, shock-singular, singular periodic waves and periodic ...
We use two-mode analyses for a variational treatment of the GPE and to treat the Fock equation. An exact diagonalization of the FSE in dual-condensates yields degenerate ground states that are very accurately fitted by phase-state representations of the degenerate asymmetric states found in the ...