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On the Schrödinger’s equation
dc.contributor | González Nogueras, María del Mar |
dc.contributor.author | Domènech Masana, Romà |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I |
dc.date.accessioned | 2015-07-30T11:17:55Z |
dc.date.available | 2015-07-30T11:17:55Z |
dc.date.issued | 2015-07 |
dc.identifier.uri | http://hdl.handle.net/2117/76404 |
dc.description.abstract | In 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.iso | eng |
dc.publisher | Universitat Politècnica de Catalunya |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Equacions en derivades parcials |
dc.subject.lcsh | Differential equations, Partial |
dc.subject.other | Schrodinger |
dc.subject.other | Partial differential equations |
dc.subject.other | Spherical harmonics |
dc.subject.other | Quantum mechanics |
dc.subject.other | Hydorgen atom |
dc.subject.other | Nonlinear |
dc.title | On the Schrödinger’s equation |
dc.type | Bachelor thesis |
dc.subject.lemac | Equacions en derivades parcials |
dc.subject.ams | Classificació AMS::35 Partial differential equations::35Q Equations of mathematical physics and other areas of application |
dc.identifier.slug | FME-1163 |
dc.rights.access | Open Access |
dc.date.updated | 2015-07-21T11:00:11Z |
dc.audience.educationlevel | Grau |
dc.audience.mediator | Universitat Politècnica de Catalunya. Facultat de Matemàtiques i Estadística |
dc.audience.degree | GRAU EN MATEMÀTIQUES (Pla 2009) |