A schematic model of scattering in PT-symmetric Quantum Mechanics

Details A schematic model of scattering in PT-symmetric Quantum Mechanics A schematic model of scattering in PT-symmetric Quantum Mechanics

2007-04-02

arxiv.org/abs/0704.0214v1

Physics

Quantum Physics

16 pp., a part of the talk to be presented during the 2nd Int. Doppler-Institute Microconference on the Analytic and Algebraic

Scientific paper

One-dimensional scattering problem admitting a complex, PT-symmetric
short-range potential V(x) is considered. Using a Runge-Kutta-discretized
version of Schroedinger equation we derive the formulae for the reflection and
transmission coefficients and emphasize that the only innovation emerges in
fact via a complexification of one of the potential-characterizing parameters.

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