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quant-ph2020★ 17 cited
Quantization of the damped harmonic oscillator based on a modified Bateman Lagrangian
Shinichi Deguchi, Yuki Fujiwara
An approach to quantization of the damped harmonic oscillator (DHO) is developed on the basis of a modified Bateman Lagrangian (MBL); thereby some quantum mechanical aspects of the…
quant-ph2019★ 2 cited
Square-integrable eigenfunctions in quantizing the Bateman oscillator model
Shinichi Deguchi, Yuki Fujiwara
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 t…
quant-ph2018★ 29 cited
Two quantization approaches to the Bateman oscillator model
Shinichi Deguchi, Yuki Fujiwara, Kunihiko Nakano
We consider two quantization approaches to the Bateman oscillator model. One is Feshbach-Tikochinsky's quantization approach reformulated concisely without invoking the ${\mathit{S…