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

2015/02/25 by Richard, S., Uchiyama, J., Umeda, T.
#FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.1502.07107

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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