Construction of potentials with multiple spectral singularities

Abstract

We develop an approach for designing complex potentials with two or three coexisting spectral singularities in the spectra of the respective Schrödinger operators. The approach is illustrated with several examples. In addition, we offer a simple recipe to create a second-order spectral singularity by intentionally colliding two simple ones.

arXiv comment15 pages, 7 figures; submitted

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