Spectral estimates for a class of Schrödinger operators with infinite phase space and potential unbounded from below

Pavel Exner, Diana Barseghyan

We analyze two-dimensional Schrödinger operators with the potential $|xy{|}^p-\lambda (x^2+y^2{)}^{p/(p+2)}$ where $p\ge 1$ and $\lambda \ge 0$. We show that there is a critical value of $\lambda$ such…