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

## TL;DR

This paper develops a schematic model for scattering in PT-symmetric quantum mechanics, deriving formulas for reflection and transmission coefficients using a discretized Schrödinger equation, highlighting the role of complex potential parameters.

## Contribution

It introduces a discretized approach to analyze scattering in PT-symmetric potentials, emphasizing the impact of complexification of potential parameters.

## Key findings

- Derived formulas for reflection and transmission coefficients.
- Showed that complexification of potential parameters influences scattering behavior.
- Provided a discretized framework for PT-symmetric scattering analysis.

## 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.