Comment on: "Harmonic oscillator in an environment with a pointlike defect". Phys. Scr. \textbf{94} ( 2019) 125301

• URL: http://arxiv.org/abs/2010.07701v1
• Date: Wed, 14 Oct 2020 13:26:08 GMT
• Title: Comment on: "Harmonic oscillator in an environment with a pointlike defect". Phys. Scr. \textbf{94} ( 2019) 125301
• Authors: Francisco M. Fern\'andez
• Abstract summary: 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.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We analyze recent results for a harmonic oscillator in an environment with a pointlike defect. We show that the allowed oscillator 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.

Related papers

• Exact dynamics of quantum dissipative $XX$ models: Wannier-Stark localization in the fragmented operator space [49.1574468325115]
  We find an exceptional point at a critical dissipation strength that separates oscillating and non-oscillating decay. We also describe a different type of dissipation that leads to a single decay mode in the whole operator subspace.
  arXiv  Detail & Related papers  (2024-05-27T16:11:39Z)
• Quantum vibrational mode in a cavity confining a massless spinor field [91.3755431537592]
  We analyse the reaction of a massless (1+1)-dimensional spinor field to the harmonic motion of one cavity wall. We demonstrate that the system is able to convert bosons into fermion pairs at the lowest perturbative order.
  arXiv  Detail & Related papers  (2022-09-12T08:21:12Z)
• Fermionic approach to variational quantum simulation of Kitaev spin models [50.92854230325576]
  Kitaev spin models are well known for being exactly solvable in a certain parameter regime via a mapping to free fermions. We use classical simulations to explore a novel variational ansatz that takes advantage of this fermionic representation. We also comment on the implications of our results for simulating non-Abelian anyons on quantum computers.
  arXiv  Detail & Related papers  (2022-04-11T18:00:01Z)
• 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)
• A most misunderstood conditionally-solvable quantum-mechanical model [0.0]
  We show that several authors have derived wrong physical conclusions from a gross misunderstanding of the exact eigenvalues and eigenfunctions of a conditionally-solvable quantum-mechanical model.
  arXiv  Detail & Related papers  (2021-09-23T12:38:35Z)
• When can a local Hamiltonian be recovered from a steady state? [11.031662961887243]
  Hamiltonians of two spin chains with 2-local interactions and 3-local interactions can be recovered by measuring local observables. We show that when the chain length reaches a certain critical number, we can recover the local Hamiltonian from its one steady state by solving the homogeneous operator equation (HOE) To explain the existence of such a critical chain length, we develop an alternative method to recover Hamiltonian by solving the energy eigenvalue equations (EEE)
  arXiv  Detail & Related papers  (2021-09-16T02:37:17Z)
• Intrinsic decoherence dynamics in the three-coupled harmonic oscillators interaction [77.34726150561087]
  We give an explicit solution for the complete equation, i.e., beyond the usual second order approximation used to arrive to the Lindblad form.
  arXiv  Detail & Related papers  (2021-08-01T02:36:23Z)
• 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: "On the Dirac oscillator subject to a Coulomb-type central potential induced by the Lorentz symmetry violation" [0.0]
  We show that the truncation of the Frobenius series does not yield all the eigenvalues and eigenfunctions of the radial equation.
  arXiv  Detail & Related papers  (2021-01-13T12:31:42Z)
• 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)
• On some conditionally solvable quantum-mechanical problems [0.0]
  We show diagrams of the distribution of their exact eigenvalues with the addition of accurate ones from variational calculations. We also comment on the wrong interpretation of the exact eigenvalues and eigenfunctions by some researchers that has led to the prediction of allowed cyclotron frequencies and field intensities.
  arXiv  Detail & Related papers  (2020-07-07T13:55:00Z)

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.