A Hermite pseudo-spectral method for solving systems of Gross-Pitaevskii equations

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We propose and analyze discretization methods for solving finite systems of nonlinearly coupled Schrödinger equations, which arise as an asymptotic limit of the three-dimensional Gross-Pitaevskii equation with strongly anisotropic potential. A pseudo-spectral method with Hermite basis functions comb...

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Detalles Bibliográficos
Autores principales: Weishäupl, R.M., Schmeiser, C., Markowich, P.A., Borgna, J.P.
Formato: JOUR
Materias:
Fourier expansion
Gross-Pitaevskii equation
Hermite polynomials
Spectral decomposition
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_15396746_v5_n2_p299_Weishaupl
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
Descripción
Sumario:We propose and analyze discretization methods for solving finite systems of nonlinearly coupled Schrödinger equations, which arise as an asymptotic limit of the three-dimensional Gross-Pitaevskii equation with strongly anisotropic potential. A pseudo-spectral method with Hermite basis functions combined with a Crank-Nicolson type method is introduced. Numerical experiments are presented, including a comparison with an alternative discretization approach. © 2007 International Press.

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