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The Lipkin model at finite temperature

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dc.contributor Polls Martí, Artur
dc.creator Pons Mojena, Marina
dc.date 2018-10-09T14:32:42Z
dc.date 2018-10-09T14:32:42Z
dc.date 2018-06
dc.date.accessioned 2024-12-16T10:26:50Z
dc.date.available 2024-12-16T10:26:50Z
dc.identifier http://hdl.handle.net/2445/125194
dc.identifier.uri http://fima-docencia.ub.edu:8080/xmlui/handle/123456789/21560
dc.description Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2018, Tutor: Artur Polls
dc.description We consider a system of N fermions described by the Lipkin model and investigate their behaviour at finite temperature. We study the in uence of the interactions on thermodynamic properties. The calculations have been done by a numerical diagonalization of the Hamiltonian. Once the full spectrum is known we consider the thermal occupation of the states and calculate the different thermodynamic properties. The extension of the Hellmann-Feynman theorem at finite temperature requires the derivative of the free energy instead of the internal energy used for zero temperature. The importance of the entropy in the fullfilment of the Hellmann-Feynman theorem is analyzed
dc.format 5 p.
dc.format application/pdf
dc.language eng
dc.rights cc-by-nc-nd (c) Pons, 2018
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 Fermions
dc.subject Nivells d'energia (Mecànica quàntica)
dc.subject Treballs de fi de grau
dc.subject Fermions
dc.subject Energy levels (Quantum mechanics)
dc.subject Bachelor's theses
dc.title The Lipkin model at finite temperature
dc.type info:eu-repo/semantics/bachelorThesis


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