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EnglishIn a recent paper, Deguchi et al. (2019), the authors proposed an analysis of the damped quantum harmonic oscillator in terms of ladder operators. This approach was shown to be partly incorrect in Bagarello et al. (2019), via a simple no-go theorem. More recently, (Deguchi and Fujiwara, 2019), Deguchi and Fujiwara claimed that our results in Bagarello et al. (2019) are wrong, and compute what they claim is the square integrable vacuum of their annihilation operators. In this brief note, we show that their vacuum is indeed not a vacuum, and we try to explain what is behind their mistakes in Deguchi et al. (2019) and Deguchi and Fujiwara (2019). We also propose a very simple example clarifying the core of the problem.
Bagarello F., Gargano F., & Roccati F. (2020). Some remarks on few recent results on the damped quantum harmonic oscillator. ANNALS OF PHYSICS, 414, 168091.
| Data di pubblicazione: | 2020 |
| Titolo: | Some remarks on few recent results on the damped quantum harmonic oscillator |
| Autori: | |
| Citazione: | Bagarello F., Gargano F., & Roccati F. (2020). Some remarks on few recent results on the damped quantum harmonic oscillator. ANNALS OF PHYSICS, 414, 168091. |
| Rivista: | |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1016/j.aop.2020.168091 |
| Abstract: | In a recent paper, Deguchi et al. (2019), the authors proposed an analysis of the damped quantum harmonic oscillator in terms of ladder operators. This approach was shown to be partly incorrect in Bagarello et al. (2019), via a simple no-go theorem. More recently, (Deguchi and Fujiwara, 2019), Deguchi and Fujiwara claimed that our results in Bagarello et al. (2019) are wrong, and compute what they claim is the square integrable vacuum of their annihilation operators. In this brief note, we show that their vacuum is indeed not a vacuum, and we try to explain what is behind their mistakes in Deguchi et al. (2019) and Deguchi and Fujiwara (2019). We also propose a very simple example clarifying the core of the problem. |
| Settore Scientifico Disciplinare: | Settore MAT/07 - Fisica Matematica |
| Appare nelle tipologie: | 1.01 Articolo in rivista |
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http://hdl.handle.net/10447/420720
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