Understanding the Complex Position in a PT-symmetric Oscillator
Quantum Physics
2015-09-21 v1 High Energy Physics - Theory
Abstract
We study how to understand the complex coordinates involved in the non-Hermitian but PT-symmetric systems. We explore a PT-symmetric oscillator model to show that the entire information on the complex position is attainable. Its real part is from the observation while its imaginary part is from the non-Hermiticity parameter. We also propose a new complex extension of P-transformation and T-transformation (the `parity' and `time reflection' respectively). Particularly, the P-transformation realizes the left-right reflection in the complex plane.
Cite
@article{arxiv.1509.03653,
title = {Understanding the Complex Position in a PT-symmetric Oscillator},
author = {Jin-Ho Cho},
journal= {arXiv preprint arXiv:1509.03653},
year = {2015}
}
Comments
4 pages with 1 figure, uses revtex4-1.cls