Two dimensional non-Hermitian harmonic oscillator: coherent states
Quantum Physics
2020-12-09 v1
Abstract
In this study, we introduce a two dimensional complex harmonic oscillator potential with space and time reflection symmetries. The corresponding time independent Schr\"odinger equation yields real eigenvalues with complex eigenfunctions. We also construct the coherent state of the system by using a superposition of 12 eigenfunctions. Using the complex correspondence principle for the probability density we investigate the possible modifications in the probability densities due to the non-Hermitian aspect of the Hamiltonian.
Cite
@article{arxiv.2012.04526,
title = {Two dimensional non-Hermitian harmonic oscillator: coherent states},
author = {Masoumeh Izadparast and S. Habib Mazharimousavi},
journal= {arXiv preprint arXiv:2012.04526},
year = {2020}
}
Comments
11 pages and 5 figures