Square-integrable eigenfunctions in quantizing the Bateman oscillator model
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- October 2019
- DOI:
- 10.48550/arXiv.1910.08271
- arXiv:
- arXiv:1910.08271
- Bibcode:
- 2019arXiv191008271D
- Keywords:
-
- Quantum Physics;
- High Energy Physics - Theory;
- Mathematical Physics
- E-Print:
- 3 pages, Comment on "A no-go result for the quantum damped harmonic oscillator" [Phys. Lett. A 383 (2019) 2836]