# Response to “Comment on ‘Quantization of the damped harmonic oscillator’” [J. Math. Phys. 60, 094101 (2019)]

@article{Serhan2019ResponseT, title={Response to “Comment on ‘Quantization of the damped harmonic oscillator’” [J. Math. Phys. 60, 094101 (2019)]}, author={Mohammed Serhan and M. Abusini and Ahmed Al-Jamel and Husam El-Nasser and Eqab M. Rabei}, journal={Journal of Mathematical Physics}, year={2019} }

This is a response to a recently reported comment [F. M. Fernandez, J. Math. Phys. 60, 094101 (2019)] on paper [M. Serhan et al., J. Math. Phys. 59, 082105 (2018)] regarding the quantization of the damped harmonic oscillator using a non-Hermitian Hamiltonian with real energy eigenvalues. We assert here that the calculation of Eq. (29) of Serhan et al. [J. Math. Phys. 59, 082105 (2018)] is incorrect, and thus the subsequent steps via the Nikiforov-Uvarov method are affected, and the energy…

## One Citation

Quantisation of particle motion in dissipative harmonic environment

- Physics
- 2019

In this work, the quantisation of particle propagating in a dissipative harmonic medium will be investigated using the creation and annihilation operator formalism, which is more appropriate in some…

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Comment on “Quantization of the damped harmonic oscillator” [J. Math. Phys. 59, 082105 (2018)]

- PhysicsJournal of Mathematical Physics
- 2019

Serhan et al. [J. Math. Phys. 59, 082105 (2018)] derived a quantum-mechanical Hamiltonian operator from the classical equations of motion for the damped harmonic oscillator and obtained its…

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

- Physics
- 2019

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…

Quantization of the damped harmonic oscillator

- PhysicsJournal of Mathematical Physics
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In this work, a suitable Hamiltonian that describes the damped harmonic oscillator is constructed. Besides, the Hamilton-Jacobi equation for this dissipative system is written and the action function…

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A number of rules for forming operators corresponding to classical quantities are investigated. Spin and relativistic effects are excluded from consideration. The two rules which are in agreement…

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