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Asymptotic series in quantum mechanics: anharmonic oscillator

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Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Any: 2014, Tutors: Bartomeu Fiol Núñez i Alejandro Haro Provinciale

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This 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.

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Asymptotic series in quantum mechanics: anharmonic oscillator