Schroedinger operators with n positive eigenvalues: an explicit construction involving complex valued potentials

preprint2015arXivOpen access

Abstract

An explicit construction is provided for embedding n positive eigenvalues in the spectrum of a Schroedinger operator on the half-line with a Dirichlet boundary condition at the origin. The resulting potential is of von Neumann-Wigner type, but can be real valued as well as complex valued.

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