Asymptotic series in quantum mechanics: anharmonic oscillator

Abstract

Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Any: 2014, Tutors: Bartomeu Fiol Núñez i Alejandro Haro ProvincialeThis thesis deals with the study of the asymptotic series that one obtains for the ground state energy of the anharmonic oscillator, that is, an harmonic oscillator with a quartic perturbation term in its Hamiltonian. First we study a simplified field theory model as an introductory example, and then we use the path integral formulation and semiclassical methods to obtain analytically the behaviour of the series at large order