Stability of the Magnetic Schrödinger Operator in a Waveguide
Stability of the Magnetic Schrödinger Operator in a Waveguide
Abstract The spectrum of the Schrödinger operator in a quantum waveguide is known to be unstable in two and three dimensions. Any local enlargement of the waveguide produces eigenvalues beneath the continuous spectrum. Also, if the waveguide is bent, eigenvalues will arise below the continuous spectrum. In this paper a …