Moving walls and geometric phases
Copyright policy )Moving walls and geometric phases
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.
16 pages, 5 figures
Quantum Physics, Geometric phase, time-dependent systems, Quantum boundary condition, FOS: Physical sciences, Mathematical Physics (math-ph), Time-dependent system, Physics and Astronomy (all), geometric phase, quantum boundary conditions, Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory, Quantum Physics (quant-ph), Mathematical Physics
Quantum Physics, Geometric phase, time-dependent systems, Quantum boundary condition, FOS: Physical sciences, Mathematical Physics (math-ph), Time-dependent system, Physics and Astronomy (all), geometric phase, quantum boundary conditions, Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory, Quantum Physics (quant-ph), Mathematical Physics
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