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Square-integrable eigenfunctions in quantizing the Bateman oscillator model

Published 18 Oct 2019 in quant-ph, hep-th, math-ph, and math.MP | (1910.08271v1)

Abstract: In a 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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