Exact solutions for time-dependent non-Hermitian oscillators: classical and quantum pictures
Quantum Physics
2021-08-26 v1 Mathematical Physics
math.MP
Abstract
We associate the stationary harmonic oscillator with time-dependent systems exhibiting non-Hermiticity by means of point transformations. The new systems are exactly solvable, with all-real spectrum, and transit to the Hermitian configuration for the appropriate values of the involved parameters. We provide a concrete generalization of the Swanson oscillator that includes the Caldirola-Kanai model as a particular case. Explicit solutions are given in both, the classical and quantum pictures.
Keywords
Cite
@article{arxiv.2108.08958,
title = {Exact solutions for time-dependent non-Hermitian oscillators: classical and quantum pictures},
author = {Kevin Zelaya and Oscar Rosas-Ortiz},
journal= {arXiv preprint arXiv:2108.08958},
year = {2021}
}