Moving walls and geometric phases

Journal Article · Thu Sep 15 00:00:00 EDT 2016 · Annals of Physics

DOI:https://doi.org/10.1016/J.AOP.2016.05.007· OSTI ID:22617378

Facchi, Paolo ^[1]; Garnero, Giancarlo ^[1]; Marmo, Giuseppe ^[2]; Samuel, Joseph ^[3]

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1. Dipartimento di Fisica and MECENAS, Università di Bari, I-70126 Bari (Italy)
2. Dipartimento di Scienze Fisiche and MECENAS, Università di Napoli “Federico II”, I-80126 Napoli (Italy)
3. Raman Research Institute, 560080 Bangalore (India)

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.

• OSTI ID: 22617378
• Journal Information: Annals of Physics, Vol. 372; Other Information: Copyright (c) 2016 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOUNDARY CONDITIONS
HAMILTONIANS
ONE-DIMENSIONAL CALCULATIONS
RENORMALIZATION
TIME DEPENDENCE