Spectral Singularities of a General Point Interaction

Details Spectral Singularities of a General Point Interaction Spectral Singularities of a General Point Interaction

2011-07-10

arxiv.org/abs/1107.1875v1

J. Phys. A: Math. Theor. 44, 375302 (2011)

Physics

Mathematical Physics

11 pages

Scientific paper

10.1088/1751-8113/44/37/375302

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.

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