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Dynamics of a quantum particle constrained to a circle

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Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2022, Tutor: Oleg Bulashenko

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In this work, we study the tunneling of a quantum particle using the instanton method.
As a starting point, we consider the double well potential, then we extend the results to a periodic potential and compare them to a particle constrained to a circle. Lastly, we test the non-perturbative approach of the method, and we discuss the coupling through a specific, parameter-dependent, periodic potential

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Dynamics of a quantum particle constrained to a circle