English

Spectral Singularities of a General Point Interaction

Mathematical Physics 2011-10-18 v1 math.MP Quantum Physics

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.

Cite

@article{arxiv.1107.1875,
  title  = {Spectral Singularities of a General Point Interaction},
  author = {Ali Mostafazadeh},
  journal= {arXiv preprint arXiv:1107.1875},
  year   = {2011}
}

Comments

11 pages

R2 v1 2026-06-21T18:34:38.637Z