Comment on "Quantization of the damped harmonic oscillator" [Serhan et al, J. Math. Phys. 59, 082105 (2018)]

Zafar Ahmed; Sachin Kumar; Abhijit Baishya

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arXiv · 1902.04895

Comment on "Quantization of the damped harmonic oscillator" [Serhan et al, J. Math. Phys. 59, 082105 (2018)]

Zafar Ahmed·Sachin Kumar·Abhijit Baishya

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Abstract

A recent paper [J. Math. Phys. {\bf 59}, 082105 (2018)] constructs a Hamiltonian for the (dissipative) damped harmonic oscillator. We point out that non-Hermiticity of this Hamiltonian has been ignored to find real discrete eigenvalues which are actually non-real. We emphasize that non-Hermiticity in Hamiltonian is crucial and it is a quantal signature of dissipation.

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Zafar Ahmed, Sachin Kumar, Abhijit Baishya. 2019-02-13. Comment on "Quantization of the damped harmonic oscillator" [Serhan et al, J. Math. Phys. 59, 082105 (2018)]. https://arxiv.org/abs/1902.04895

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