Reply to "Comment on 'Non-Markovian harmonic oscillator across a magnetic field and time-dependent force fields' ".
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- Also identified by DOI 10.1103/PhysRevE.103.046102.
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Abstract
Recently in a paper by Hidalgo-Gonzalez and Jiménez-Aquino [Phys. Rev. E 100, 062102 (2019)PREHBM2470-004510.1103/PhysRevE.100.062102], the generalized Fokker-Planck equation (GFPE) for a Brownian harmonic oscillator in a constant magnetic field and under the action of time-dependent force fields, has been explicitly calculated using the characteristic function method. Although the problem is linear it is not easy to solve, however, the method of the characteristic function is effective and allows to obtain an exact and precise solution of the problem. Our theoretical result has been compared with the one reported by Das et al. in a recently submitted paper [arXiv:2011.09771] using another solution method. The proposed method consists in constructing the GFPE and then calculating each time-dependent coefficient associated with this equation. However, in a more complicated case, one cannot know a priori the exact number of terms that this equation must contain. The precise number is further provided by the characteristic function method.