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Fourier methods for the perturbed harmonic oscillator in linear and nonlinear Schrödinger equations

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Fourier methods for the perturbed harmonic oscillator in linear and nonlinear Schrödinger equations

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Bader, P.; Blanes Zamora, S. (2011). Fourier methods for the perturbed harmonic oscillator in linear and nonlinear Schrödinger equations. Physical Review E. 83(4):46711-1-46711-11. doi:10.1103/PhysRevE.83.046711

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/99668

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Title: Fourier methods for the perturbed harmonic oscillator in linear and nonlinear Schrödinger equations
Author:
UPV Unit: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Issued date:
Abstract:
[EN] We consider the numerical integration of the Gross-Pitaevskii equation with a potential trap given by a time-dependent harmonic potential or a small perturbation thereof. Splitting methods are frequently used with ...[+]
Subjects: Coordinate space , Dinger equation , Fourier methods , Fourier techniques , Gross-Pitaevskii equation , Harmonic oscillators , Harmonic potential , Hermite basis functions , Numerical integrations , Potential trap , Small perturbations , Splitting method , Strong nonlinearity , Time-dependent , Bose-Einstein condensation , Control nonlinearities , Harmonic analysis , Harmonic functions , Integration , Numerical methods , Oscillators (mechanical) , Fast Fourier transforms
Copyrigths: Reserva de todos los derechos
Source:
Physical Review E. (issn: 1539-3755 )
DOI: 10.1103/PhysRevE.83.046711
Publisher:
American Physical Society
Publisher version: http://doi.org/10.1103/PhysRevE.83.046711
Thanks:
We would like to acknowledge the referees for their careful reading and suggestions. The authors acknowledge the support of the Generalitat Valenciana through the project GV/2009/032. The work of S. B. has also been partially ...[+]
Type: Artículo

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