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Bachelor thesis

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cc-by-nc-nd (c) Tarrats, 2019
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/141703

Finite range effects in trapped bosons systems

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Abstract

We consider a system of two bosons trapped in a one-dimensional harmonic oscillator potential interacting by a finite-range gaussian potential. We study the dependence of its energy spectrum as a function of the strength and range of the interaction. The dynamic structure function associated with the monopolar excitation is computed and analysed by explicitly employing the eigenstates of the system. We also characterise the dynamic structure function with the energy sum rules. Finally, a comparison with the results provided by a contact interaction is also presented

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Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2019, Tutor: Artur Polls Martí

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TARRATS ROSELL, Jordi. Finite range effects in trapped bosons systems. [consulted: 12 of June of 2026]. Available at: https://hdl.handle.net/2445/141703

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