A schematic model of scattering in PT-symmetric Quantum Mechanics

2007/04/02 by Miloslav Znojil, Znojil, Miloslav
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Physics (quant-ph) #hep-th #quant-ph

paper · pdf · doi:10.48550/arxiv.0704.0214

16 pp., a part of the talk to be presented during the 2nd Int. Doppler-Institute Microconference on the Analytic and Algebraic Methods: Prague, Villa Lanna, April 3rd, 2007, cf. http://gemma.ujf.cas.cz/%7Eznojil/conf/micromeetingII.html

arxiv created 2007/04/02 · arxiv updated 2009/12/01

Abstract

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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