Spectral Singularities of a General Point Interaction

Ali Mostafazadeh

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.

http://arxiv.org/abs/1107.1875
Mathematical Physics (math-ph); Quantum Physics (quant-ph)

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