Spectral analysis of a class of Schroedinger operators exhibiting a parameter-dependent spectral transition

Diana Barseghyan, Pavel Exner, Andrii Khrabustovskyi +1

We analyze two-dimensional Schrödinger operators with the potential $|xy{|}^p-\lambda (x^2+y^2{)}^{p/(p+2)}$ where $p\ge 1$ and $\lambda \ge 0$, which exhibit an abrupt change of its spectral prop…