Quantum cavities with alternating boundary conditions
Mathematical Physics
2018-02-15 v1 math.MP
Quantum Physics
Abstract
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 show that this procedure induces, in the limit of infinitely frequent switchings, a new effective dynamics in the cavity related to a novel boundary condition. We obtain a dynamical composition law for boundary conditions which gives the emerging boundary condition in terms of the two initial ones.
Cite
@article{arxiv.1710.10893,
title = {Quantum cavities with alternating boundary conditions},
author = {Paolo Facchi and Giancarlo Garnero and Marilena Ligabò},
journal= {arXiv preprint arXiv:1710.10893},
year = {2018}
}