14 citations · 62 across the 7 of their papers we have counts for
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math-ph2017★ 6 cited
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…
math-ph2017★ 14 cited
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…