Physical Review A

Quantization of the damped harmonic oscillator

Henryk Gzyl

Published May 1, 1983• 31 citations

Abstract

By means of a canonical transformation that can be implemented as a unitary change of representation, we show how to quantize the damped harmonic oscillator.Received 17 May 1982DOI:https://doi.org/10.1103/PhysRevA.27.2297©1983 American Physical Society

DOI: 10.1103/physreva.27.2297

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

Francisco Marcelo Fernández

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 eigenvalues and eigenfunctions by canonical quantization. They claim that the eigenvalues are real, but here we show that they are in fact complex.

Journal of Mathematical PhysicsSep 1, 20192 citations