Achieving energy permutation of modes in the Schrödinger equation with moving Dirac potentials

Alessandro Duca, Carlos Castro

In this work, we study the Schrödinger equation $i{\partial }_t\psi =-\Delta \psi +\eta (t){\sum }_{j=1}^J{\delta }_{x=a_j(t)}\psi$ on $L^2((0,1),C)$ where $\eta :[0,T]⟶R^{+}$ and $a_j:[0,T]\longrightarrow…