Algebraic treatment of $\mathcal{PT}$-symmetric coupled oscillators
Quantum Physics
2015-06-18 v1
Abstract
The purpose of this paper is the discussion of a pair of coupled linear oscillators that has recently been proposed as a model of a system of two optical resonators. By means of an algebraic approach we show that the frequencies of the classical and quantum-mechanical interpretations of the optical phenomenon are exactly the same. Consequently, if the classical frequencies are real, then the quantum-mechanical eigenvalues are also real.
Keywords
Cite
@article{arxiv.1402.4473,
title = {Algebraic treatment of $\mathcal{PT}$-symmetric coupled oscillators},
author = {Francisco M. Fernández},
journal= {arXiv preprint arXiv:1402.4473},
year = {2015}
}