English

Scattering theory using smeared non-Hermitian potentials

Quantum Physics 2009-08-14 v2

Abstract

Complex, non-Hermitian potentials V(x) can often generate standard quantum bound states. H. F. Jones [Phys. Rev. D 78, 065032 (2008)] demonstrated that the idea cannot directly be transferred to scattering. We reveal that a return to the causal and unitary and asymptotically Hermitian scattering theory exists for potentials which are allowed slightly non-local, V=V(x,p).

Keywords

Cite

@article{arxiv.0903.1007,
  title  = {Scattering theory using smeared non-Hermitian potentials},
  author = {Miloslav Znojil},
  journal= {arXiv preprint arXiv:0903.1007},
  year   = {2009}
}

Comments

24 pp

R2 v1 2026-06-21T12:18:43.301Z