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Semiclassical solutions in statistical quantum mechanics: second-order corrections and applications to nuclear matter

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Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2025, Tutor: Juan M. Torres Rincón

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We consider the Feynman path integral formalism applied to different quantum systems at finite temperature under the semiclassical approximation. To refine previous results, we first develop its second-order correction by implementing the Gel’fand-Yaglom method numerically and apply it to the 1D nonperturbative anharmonic oscillator. Then, we extend the semiclassical approach to a generic two-body potential, V (r), and apply it to the 3D spherical harmonic oscillator and to the nucleon-nucleon interaction to obtain thermodynamical properties of nuclear matter

# metadata.dc.title[].value
Semiclassical solutions in statistical quantum mechanics: second-order corrections and applications to nuclear matter