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Fourier-Hermite methods for perturbed harmonic oscillator problems

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Fourier-Hermite methods for perturbed harmonic oscillator problems

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dc.contributor.advisor Blanes Zamora, Sergio es_ES
dc.contributor.author Bader, Philipp Karl Heinz es_ES
dc.date.accessioned 2011-07-26T12:20:07Z
dc.date.available 2011-07-26T12:20:07Z
dc.date.created 2010-09-23
dc.date.issued 2011-07-26
dc.identifier.uri http://hdl.handle.net/10251/11321
dc.description.abstract In this work, we address the problem of solving non-linear Schrödinger equations numerically and find that an exact particular splitting technique shows superior performance to commonly used methods. We consider the numerical integration of the Gross-Pitaevskii equation with a potential trap given by a harmonic potential or a small perturbation to it. Splitting methods are frequently used with Fourier techniques since the system can be split into the kinetic and remaining part, and each part can be solved efficiently using Fast Fourier Transforms. To split the system into the quantum harmonic oscillator problem and the remaining part allows to get higher accuracies in many cases, but it requires to change between Hermite basis functions and the coordinate space. We show how to build new methods which combine the advantages of using Fourier methods while solving the harmonic oscillator exactly. es_ES
dc.format.extent 25 es_ES
dc.language Inglés es_ES
dc.publisher Universitat Politècnica de València es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Numerical integration es_ES
dc.subject Perturbed harmonic oscillator es_ES
dc.subject Splitting es_ES
dc.subject Fourier es_ES
dc.subject Hermite es_ES
dc.subject Integración numérica es_ES
dc.subject Oscilador armónico perturbado es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.subject.other Máster Universitario en Investigación Matemática-Màster Universitari en Investigació Matemàtica es_ES
dc.title Fourier-Hermite methods for perturbed harmonic oscillator problems es_ES
dc.type Tesis de máster es_ES
dc.rights.accessRights Cerrado es_ES
dc.contributor.affiliation Universitat Politècnica de València. Servicio de Alumnado - Servei d'Alumnat es_ES
dc.description.bibliographicCitation Bader, PKH. (2010). Fourier-Hermite methods for perturbed harmonic oscillator problems. http://hdl.handle.net/10251/11321 es_ES
dc.description.accrualMethod Archivo delegado es_ES


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