Comment on: "On the Dirac oscillator subject to a Coulomb-type central potential induced by the Lorentz symmetry violation"

• URL: http://arxiv.org/abs/2101.06117v1
• Date: Wed, 13 Jan 2021 12:31:42 GMT
• Title: Comment on: "On the Dirac oscillator subject to a Coulomb-type central potential induced by the Lorentz symmetry violation"
• Authors: Francisco M. Fern\'andez
• Abstract summary: We show that the truncation of the Frobenius series does not yield all the eigenvalues and eigenfunctions of the radial equation.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We analyze recent results on a Dirac oscillator. We show that the truncation of the Frobenius series does not yield all the eigenvalues and eigenfunctions of the radial equation. For this reason the eigenvalues reported by the authors are useless and the prediction of allowed oscillator frequencies meaningless.

Related papers

• Decoupling of External and Internal Dynamics in Driven Two-level Systems [49.96265870315999]
  We show how a laser driven two-level system can be decoupled into a set of equations acting only on the external degrees of freedom for each state. We give a way of characterizing the solvability of this family of problems by appealing to a classical oscillator with time-dependent damping. We show that chirping of the driving fields phase emerges naturally as a means of compensating the Ehrenfest/mean-value part of the detuning operator's dynamics.
  arXiv  Detail & Related papers  (2024-06-03T16:42:28Z)
• Asymptotic Gaussian Fluctuations of Eigenvectors in Spectral Clustering [24.558241146742205]
  It is shown that the signal $+$ noise structure of a general spike random matrix model is transferred to the eigenvectors of the corresponding Gram kernel matrix. This CLT-like result was the last missing piece to precisely predict the classification performance of spectral clustering.
  arXiv  Detail & Related papers  (2024-02-19T17:25:12Z)
• Radiation statistics of a degenerate parametric oscillator at threshold [0.0]
  We study the statistics of the radiation emitted by a degenerate parametric oscillator at threshold. We find that the cumulants obey a universal power-law scaling as a function of the nonlinearity. We predict a certain ratio of the first three cumulants to be independent of the microscopic details of the system.
  arXiv  Detail & Related papers  (2022-08-31T14:25:23Z)
• In-Gap Band Formation in a Periodically Driven Charge Density Wave Insulator [68.8204255655161]
  Periodically driven quantum many-body systems host unconventional behavior not realized at equilibrium. We investigate such a setup for strongly interacting spinless fermions on a chain, which at zero temperature and strong interactions form a charge density wave insulator.
  arXiv  Detail & Related papers  (2022-05-19T13:28:47Z)
• Intrinsic decoherence for the displaced harmonic oscillator [77.34726150561087]
  We use the complete solution of the Milburn equation that describes intrinsic decoherence. We calculate the expectation values of position quadrature, and the number operator in initial coherent and squeezed states.
  arXiv  Detail & Related papers  (2021-12-06T03:15:43Z)
• Rotating Majorana Zero Modes in a disk geometry [75.34254292381189]
  We study the manipulation of Majorana zero modes in a thin disk made from a $p$-wave superconductor. We analyze the second-order topological corner modes that arise when an in-plane magnetic field is applied. We show that oscillations persist even in the adiabatic phase because of a frequency independent coupling between zero modes and excited states.
  arXiv  Detail & Related papers  (2021-09-08T11:18:50Z)
• Aharonov-Bohm effect on the generalized Duffin-Kemmer-Petiau oscillator in the Som-Raychaudhuri space-time [30.03335724329084]
  The effect from the parameters of space-time, the frequency of oscillator, the Cornell potential and the magnetic flux on the energy eigenvalues have been analyzed. We find an analogs effect for the bound states from the Aharonov-Bohm effect in our considered system.
  arXiv  Detail & Related papers  (2021-06-23T06:48:42Z)
• Comment on: "On the Klein-Gordon oscillator subject to a Coulomb-type potential". Ann. Phys. 355 (2015) 48 [arXiv:arXiv:1411.6988] [0.0]
  We show that the truncation method proposed by the authors do not yield all the eigenvalues of the radial equation. The existence of allowed frequencies that depend on the quantum numbers is an artifact of the truncation method.
  arXiv  Detail & Related papers  (2021-04-13T18:06:51Z)
• Comment on: "Harmonic oscillator in an environment with a pointlike defect". Phys. Scr. \textbf{94} ( 2019) 125301 [0.0]
  We show that the allowed frequencies predicted by the authors stem from a misinterpretation of the exact solutions of a conditionally solvable eigenvalue equation. Also the exact eigenvalues derived by those authors are meaningless because they belong to different quantum-mechanical models.
  arXiv  Detail & Related papers  (2020-10-14T13:26:08Z)
• Comment on: "On the effects of the Lorentz symmetry violation yielded by a tensor field on the interaction of a scalar particle and a Coulomb-type field" Ann. Phys. 399 (2018) 117-123 [0.0]
  We show, beyond any doubt, that the physical conclusions drawn by the authors from a truncation of a power series, are meaningless and nonsensical.
  arXiv  Detail & Related papers  (2020-10-10T13:31:14Z)
• Comment on: "Rashba coupling induced by Lorentz symmetry breaking effects". Ann. Phys. (Berlin) \textbf{526}, 187 (2013) [0.0]
  We show that the authors did not obtain the spectrum of the eigenvalue equation but only one eigenvalue for a specific relationship between model parameters. The existence of allowed cyclotron frequencies conjectured by the authors is a mere artifact of the truncation condition used to obtain exact solutions to the radial eigenvalue equation.
  arXiv  Detail & Related papers  (2020-09-13T14:41:28Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.