Revivals and fractalisation in the linear free space Schrödinger equation
Revivals and fractalisation in the linear free space Schrödinger equation
We consider the one-dimensional linear free space Schrödinger equation on a bounded interval subject to homogeneous linear boundary conditions. We prove that, in the case of pseudoperiodic boundary conditions, the solution of the initial-boundary value problem exhibits the phenomenon of revival at specific ("rational") times, meaning that it is a …