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Results in Physics

Comment on the “asymmetric variation of a finite mass harmonic like oscillator”

Omar Mustafa

Published Dec 30, 2021• 0 citations
Publisher

Abstract

The paper “asymmetric variation of finite mass harmonic like oscillator” in the Results Phys 19 (2020) 103335, contains a sign mistake in the dynamical equation used. This, in turn, affects the equations and results that follow. Moreover, the authors plotted the momentum operator (i.e., a differential operator pˆ=−i∂/∂x) against the coordinate x(t). This is here argued to constitute a conceptual quantum mechanical error.

DOI
10.1016/j.rinp.2021.105149

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The paper “asymmetric variation of finite mass harmonic like oscillator” in the Results Phys 19 (2020) 103335, contains a sign mistake in the dynamical equation used. This, in turn, affects the equations and results that follow. Moreover, the authors plotted the momentum operator (i.e., a differential operator pˆ=−i∂/∂x) against the coordinate x(t). This is here argued to constitute a conceptual quantum mechanical error.
Abstract In a recent paper by Jafarov et al (2020 J. Phys. A 53 485301), a confined model of the non-relativistic quantum harmonic oscillator, where the effective mass and the angular frequency are dependent on the position, was constructed and it was shown that the confinement parameter gets quantized. By using a point canonical transformation starting from the constant-mass Schrödinger equation for the Rosen–Morse II potential, it is shown here that similar results can be easily obtained without quantizing the confinement parameter. In addition, an extension to a confined shifted harmonic oscillator directly follows from the same point canonical transformation.