paper

Spectral Singularities of a General Point Interaction

arXiv:1107.1875 · doi:10.1088/1751-8113/44/37/375302

Abstract

We study the problem of locating spectral singularities of a general complex point interaction with a support at a single point. We also determine the bound states, examine the special cases where the point interaction is P-, T-, and PT-symmetric, and explore the issue of the coalescence of spectral singularities and bound states.

11 pages

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