14 citations · 62 across the 7 of their papers we have counts for
3 papers · 1 filter
Quantum cavities with alternating boundary conditions
Paolo Facchi, Giancarlo Garnero, Marilena Ligabò
We consider the quantum dynamics of a free nonrelativistic particle moving in a cavity and we analyze the effect of a rapid switching between two different boundary conditions. We…
Self-adjoint extensions and unitary operators on the boundary
Paolo Facchi, Giancarlo Garnero, Marilena Ligabò
We establish a bijection between the self-adjoint extensions of the Laplace operator on a bounded regular domain and the unitary operators on the boundary. Each unitary encodes a s…
Moving Walls and Geometric Phases
Paolo Facchi, Giancarlo Garnero, Giuseppe Marmo +1
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…