Propagation of singularities and Fredholm analysis for the time-dependent Schrödinger equation

Jesse Gell-Redman, Sean Gomes, Andrew Hassell

We study the time-dependent Schrödinger operator $P=D_t+{\Delta }_g+V$ acting on functions defined on ${\mathbb{R}}^{n+1}$, where, using coordinates $z\in {\mathbb{R}}^n$ and $t \in \ma…