Scattering along a complex loop in a solvable PT-symmetric model
Mathematical Physics
2012-05-21 v1 math.MP
Quantum Physics
Abstract
A non-unitary version of quantum scattering is studied via an exactly solvable toy model. The model is merely asymptotically local since the smooth path of the coordinate is admitted complex in the non-asymptotic domain. At any real angular-momentum-like parameter the reflection R and transmission T are shown to change with the winding number (i.e., topology) of the path. The points of unitarity appear related to the points of existence of quantum-knot bound states.
Cite
@article{arxiv.1112.2644,
title = {Scattering along a complex loop in a solvable PT-symmetric model},
author = {Miloslav Znojil},
journal= {arXiv preprint arXiv:1112.2644},
year = {2012}
}
Comments
15 pp., 3 figures