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Title: The Lipkin model at finite temperature
Author: Pons Mojena, Marina
Director: Polls Martí, Artur
Keywords: Fermions
Nivells d'energia (Mecànica quàntica)
Treballs de fi de grau
Energy levels (Quantum mechanics)
Bachelor's thesis
Issue Date: Jun-2018
Abstract: 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
Note: Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2018, Tutor: Artur Polls
Appears in Collections:Treballs Finals de Grau (TFG) - Física

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