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Quantum Mechanics and Path Integrals: Quadratic Actions

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Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2022, Tutor: Josep Tarón Roca

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This work aims to calculate the Feynman propagator of several physical systems governed by quadratic actions by means of the Path Integral approach. Consequently, once the propagator is known for the case of a harmonic potential, a system of coupled oscillators will be studied. Finally, it will be possible to determine the time evolution of a Gaussian wave function when its width is initially modified, as well as the effect induced by a periodic external force

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Quantum Mechanics and Path Integrals: Quadratic Actions