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Square-integrable eigenfunctions in quantizing the Bateman oscillator model

arXiv
Authors: Shinichi Deguchi, Yuki Fujiwara

Year

2019

Paper ID

7111

Status

Preprint

Abstract Read

~2 min

Abstract Words

56

Citations

N/A

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.

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  • This paper contributes to the Quantum Foundations research area in the Quantum Articles archive.
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