On the discrete spectrum of Schrödinger operators with Ahlfors regular potentials in a strip

Eigenvalue estimates for magnetic Schrodinger operators in a waveguide

“…Some of these results largely depend on the geometry of the waveguide and the conditions imposed at the boundary. Many authors have obtained results on both qualitative and quantitative spectral properties (see, e.g., [9,12,13]). The work in this paper is dedicated to the quantitative properties of the discrete spectrum of a Schrödinger operator representing a charged quantum particle whose motion is confined in a straight infinite strip interacting with Aharonov-Bohm magnetic field.…”