Permuting quantum eigenmodes by a quasi-adiabatic motion of a potential wall

Alessandro Duca, Romain Joly, Dmitry Turaev

We study the Schrödinger equation $i{\partial }_t\psi =-\Delta \psi +V\psi$ on $L^2((0,1),\mathbb{C})$ where $V$ is a very high and localized potential wall. We aim to perform permutations of the eige…