Comment on "Quantization of the damped harmonic oscillator" [Serhan et al, J. Math. Phys. 59, 082105 (2018)]
Quantum Physics
2019-02-14 v1 Mathematical Physics
math.MP
Abstract
A recent paper [J. Math. Phys. {\bf 59}, 082105 (2018)] constructs a Hamiltonian for the (dissipative) damped harmonic oscillator. We point out that non-Hermiticity of this Hamiltonian has been ignored to find real discrete eigenvalues which are actually non-real. We emphasize that non-Hermiticity in Hamiltonian is crucial and it is a quantal signature of dissipation.
Cite
@article{arxiv.1902.04895,
title = {Comment on "Quantization of the damped harmonic oscillator" [Serhan et al, J. Math. Phys. 59, 082105 (2018)]},
author = {Zafar Ahmed and Sachin Kumar and Abhijit Baishya},
journal= {arXiv preprint arXiv:1902.04895},
year = {2019}
}
Comments
3 pages, no figure no table