Path integrals in quantum mechanical systems

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.