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arXiv · 1509.00381

Moving Walls and Geometric Phases

Paolo Facchi·Giancarlo Garnero·Giuseppe Marmo·Joseph Samuel
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Abstract

We unveil the existence of a non-trivial Berry phase associated to the dynamics of a quantum particle in a one dimensional box with moving walls. It is shown that a suitable choice of boundary conditions has to be made in order to preserve unitarity. For these boundary conditions we compute explicitly the geometric phase two-form on the parameter space. The unboundedness of the Hamiltonian describing the system leads to a natural prescription of renormalization for divergent contributions arising from the boundary.

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Paolo Facchi, Giancarlo Garnero, Giuseppe Marmo, Joseph Samuel. 2015-09-01. Moving Walls and Geometric Phases. https://doi.org/10.1016/j.aop.2016.05.007

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