Semiclassical approach for path integrals in quantum mechanics

In this work we have explored the formalism of the path integral in the semiclassical approximation and we have obtained both analytical and numerical results to determine the expected values of quantum observables incorporating thermal fluctuations. The study has been done for the harmonic and anharmonic potentials in one dimension. The obtained results have been compared with those obtained by solving the Schr¨odinger equation and the path integral Monte Carlo method; the similarities and discrepancies have been discussed.

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

Country

Spain

Related Organizations

University of Barcelona
Spain

Keywords

Quantum theory, Integrals de camí, Bachelor's theses, Teoria quàntica, Path integrals, Treballs de fi de grau

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