Square-integrable eigenfunctions in quantizing the Bateman oscillator model
Quantum Physics
2019-10-21 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
In a recent paper [Phys. Lett. A 383 (2019) 2836; arXiv:1906.05121 [quant-ph]], Bagarello, Gargano, and Roccati have claimed that no square-integrable vacuum exists in quantizing the Bateman oscillator model. In this paper, we rebut their claim by actually deriving the square-integrable vacuum eigenfunction using a common procedure. We see that no problems occur in quantizing the Bateman oscillator model.
Cite
@article{arxiv.1910.08271,
title = {Square-integrable eigenfunctions in quantizing the Bateman oscillator model},
author = {Shinichi Deguchi and Yuki Fujiwara},
journal= {arXiv preprint arXiv:1910.08271},
year = {2019}
}
Comments
3 pages, Comment on "A no-go result for the quantum damped harmonic oscillator" [Phys. Lett. A 383 (2019) 2836]