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PONS POLO GERARD_7934158.pdf (637.35 KB)

Document type

Bachelor thesis

Publication date

2023-06

Publication license

cc-by-nc-nd (c) Pons, 2023
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/201759

Path integrals in quantum mechanical systems

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Abstract

This work has implemented the path integral formalism into quantum mechanics with systems at finite temperature. Low, medium and high temperatures have been considered. The study has been done with numerical computations based on Monte Carlo methods on the harmonic and the anharmonic oscillators. In this latter case the results have been compared with the Schr¨odinger equation solutions and it has lead to a high degree of compatibility. It has been shown that the path integral is an alternative and valid method to solve thermal quantum systems.

Description

Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2023, Tutors: Juan M. Torres, Assumpta Parreño

Subject

Teoria quàntica, Integrals de camí, Treballs de fi de grau

Subject (English)

Quantum theory, Path integrals, Bachelor's theses

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Treballs Finals de Grau (TFG) - Física

Citation

PONS POLO, Gerard. Path integrals in quantum mechanical systems. [consulted: 12 of August of 2026]. Available at: https://hdl.handle.net/2445/201759

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