Bound states for rapidly oscillatory Schrödinger operators in dimension 2

Alexis Drouot

We study the eigenvalues of Schrödinger operators on ${\mathbb{R}}^2$ with rapidly oscillatory potential $V(x)=W(x,x/\epsilon )$, where $W(x,y) \in C^\infty_0(\mathbb{R}^2 \times…