Title:	Moving walls and geometric phases
Authors:	Facchi, Paolo Garnero, Ciancarlo Marmo, G. Samuel, J.
Keywords:	Quantum boundary conditions Time-dependent systems
Issue Date:	Sep-2016
Publisher:	Elsevier Inc.
Citation:	Annals of Physics, 2016, Vol. 372, p201-214
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.
Description:	Restricted Access. An open-access version is available at arXiv.org (one of the alternative locations)
URI:	http://hdl.handle.net/2289/6595
ISSN:	0003-4916
Alternative Location:	http://arxiv.org/abs/1509.00381 http://dx.doi.org/10.1016/j.aop.2016.05.007
Copyright:	2016 Elsevier Inc.
Appears in Collections:	Research Papers (TP)

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