Levinson's theorem for dissipative systems, or how to count the asymptotically disappearing states

A. Alexander, J. Faupin, S. Richard

We consider dissipative Schroedinger operators of the form $H=-\hat{I}”+V(x)$ on $L^2({\mathbb{R}}^3)$, with $V(x)$ a complex, bounded and decaying potential with a non-positive imaginary p…