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dc.contributorGonzález Nogueras, María del Mar
dc.contributor.authorDomènech Masana, Romà
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.date.accessioned2015-07-30T11:17:55Z
dc.date.available2015-07-30T11:17:55Z
dc.date.issued2015-07
dc.identifier.urihttp://hdl.handle.net/2117/76404
dc.description.abstractIn this article we derive the solution to the Schrödinger's equation in one dimension for a simple example, also the solution to the eigenvalue problem in a three dimensional ball, and then apply the results to deduce the eigenvalues of the Schrödinger's equation for the Hydrogen atom. This eigenvalues give rise to the energy emission lines of the Hydrogen. We also solve the initial-value problem of the Schrödigner's equation in $\R^n$ and the Nonlinear Schrödinger's equation locally, in $\R^3$. We explain the theoretical principles that underly the electronic orbitals of the atom, and deduce their approximated three dimensional aspect.\\
dc.language.isoeng
dc.publisherUniversitat Politècnica de Catalunya
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Equacions en derivades parcials
dc.subject.lcshDifferential equations, Partial
dc.subject.otherSchrodinger
dc.subject.otherPartial differential equations
dc.subject.otherSpherical harmonics
dc.subject.otherQuantum mechanics
dc.subject.otherHydorgen atom
dc.subject.otherNonlinear
dc.titleOn the Schrödinger’s equation
dc.typeBachelor thesis
dc.subject.lemacEquacions en derivades parcials
dc.subject.amsClassificació AMS::35 Partial differential equations::35Q Equations of mathematical physics and other areas of application
dc.identifier.slugFME-1163
dc.rights.accessOpen Access
dc.date.updated2015-07-21T11:00:11Z
dc.audience.educationlevelGrau
dc.audience.mediatorUniversitat Politècnica de Catalunya. Facultat de Matemàtiques i Estadística
dc.audience.degreeGRAU EN MATEMÀTIQUES (Pla 2009)


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