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arxiv: 1107.1875 · v1 · pith:GX4UX2KBnew · submitted 2011-07-10 · 🧮 math-ph · math.MP· quant-ph

Spectral Singularities of a General Point Interaction

classification 🧮 math-ph math.MPquant-ph
keywords pointinteractionsingularitiesspectralboundgeneralstatescases
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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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