Essential spectrum of Schrödinger operators with delta-type interactions on systems of unbounded hypersurfaces

Autor: Vladimir Rabinovitch -
We consider the essential spectrum of Schrödinger operators with singular delta type potentials with supports on a system of unbounded hypersurfaces. This operator is realized as unbounded operator associated with transmission conditions on hypersurfaces. Applying the limit operators method we obtain an explicite description of the essential spectra of the operators under considaration depending on a behavior of the strength coefficients and hypersuperficios at infinity.