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dc.contributor.authorBosch, Miquel
dc.contributor.authorMegías, Guillem
dc.contributor.authorPascual, Gerard
dc.date.accessioned2019-01-31T16:38:10Z
dc.date.available2020-07-03T08:18:12Z
dc.date.issued2018
dc.identifier.urihttp://hdl.handle.net/2117/192374
dc.description.abstractQuantum Mechanics is considered as one of the most weird branches in physics with the most, although accurate, counter intuitive predictions. The problem lies not on the theory but on what it is trying to explain: the microscopic world. Moreover, due to the complicated form of the Schrödinger equation, there are only few examples where an analytical solution to the problem exists. Therefore, the motivation of this paper is to explore the effects of Quantum Mechanics solving the Schrödinger equation numerically for different potentials. Firstly, the algorithms and the numerical methods used to calculate the eigenvalues and the eigenstates are explained. Subsequently, on the results section, the numerical system is stressed to find out its precision and the method is used for two real models: the ammonia molecule and the hydrogen atom. Finally, an applet that uses the numerical system of this paper is discussed.
dc.language.isoeng
dc.publisherUniversitat Politècnica de Catalunya
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Física
dc.titleAccurate numerical approach to Quantum Mechanics
dc.typeCoursework
dc.rights.accessOpen Access
dc.audience.educationlevelGrau
dc.audience.mediatorEscola Tècnica Superior d'Enginyeria de Telecomunicació de Barcelona
dc.audience.degreeGRAU EN ENGINYERIA FÍSICA (Pla 2011)
dc.audience.coursePROJECTES D'ENGINYERIA FÍSICA 2 - 230477
dc.description.academicyear2017/2018
dc.identifier.ocwhttp://hdl.handle.net/2099.3/40116


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Attribution-NonCommercial-NoDerivs 3.0 Spain
Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 3.0 Spain