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Quantum Mechanics by Numerical Simulation of Path Integral

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dc.contributor Mescia, Federico
dc.creator Giménez Umbert, Bruno
dc.date 2017-11-06T14:03:43Z
dc.date 2017-11-06T14:03:43Z
dc.date 2017-06
dc.date.accessioned 2024-12-16T10:25:51Z
dc.date.available 2024-12-16T10:25:51Z
dc.identifier http://hdl.handle.net/2445/117424
dc.identifier.uri http://fima-docencia.ub.edu:8080/xmlui/handle/123456789/20123
dc.description Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2017, Tutor: Federico Mescia
dc.description The Quantum Mechanics formulation of Feynman is based on the concept of path integrals, allowing to express the quantum transition between two space-time points without using the bra and ket formalism in the Hilbert space. A particular advantage of this approach is the ability to provide an intuitive representation of the classical limit of Quantum Mechanics. The practical importance of path integral formalism is being a powerful tool to solve quantum problems where the analytic solution of the Schrödinger equation is unknown. For this last type of physical systems, the path integrals can be calculated with the help of numerical integration methods suitable for implementation on a computer. Thus, they provide the development of arbitrarily accurate solutions. This is particularly important for the numerical simulation of strong interactions (QCD) which cannot be solved by a perturbative treatment. This thesis will focus on numerical techniques to calculate path integral on some physical systems of interest.
dc.format 5 p.
dc.format application/pdf
dc.language eng
dc.rights cc-by-nc-nd (c) Giménez, 2017
dc.rights http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights info:eu-repo/semantics/openAccess
dc.source Treballs Finals de Grau (TFG) - Física
dc.subject Teoria quàntica
dc.subject Anàlisi numèrica
dc.subject Integrals de camí
dc.subject Treballs de fi de grau
dc.subject Quantum theory
dc.subject Numerical analysis
dc.subject Path integrals
dc.subject Bachelor's theses
dc.title Quantum Mechanics by Numerical Simulation of Path Integral
dc.type info:eu-repo/semantics/bachelorThesis


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