Scattering along a complex loop in a solvable PT-symmetric model

Details Scattering along a complex loop in a solvable PT-symmetric model Scattering along a complex loop in a solvable PT-symmetric model

2011-12-12

arxiv.org/abs/1112.2644v1

Physics

Mathematical Physics

15 pp., 3 figures

Scientific paper

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.

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