Comment on: "Quantum aspects of the Lorentz symmetry violation on an electron in a nonuniform electric field'' Eur. Phys. J. Plus (2020) 135:623

• URL: http://arxiv.org/abs/2101.01574v1
• Date: Mon, 4 Jan 2021 13:47:52 GMT
• Title: Comment on: "Quantum aspects of the Lorentz symmetry violation on an electron in a nonuniform electric field'' Eur. Phys. J. Plus (2020) 135:623
• Authors: Paolo Amore and Francisco M. Fern\'andez
• Abstract summary: We analyze recent results concerning the hypothesis of a privileged direction in the space-time that is made by considering a background of the Lorentz symmetry violation determined by a fixed spacelike vector field. We show that the conclusions derived by the authors are an artifact of the truncation of the Frobenius series by means of the tree-term recurrence relation for the expansion coefficients.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We analyze recent results concerning the hypothesis of a privileged direction in the space-time that is made by considering a background of the Lorentz symmetry violation determined by a fixed spacelike vector field and the analysis of quantum effects of this background on the interaction of a nonrelativistic electron with a nonuniform electric field produced by a uniform electric charge distribution. We show that the conclusions derived by the authors are an artifact of the truncation of the Frobenius series by means of the tree-term recurrence relation for the expansion coefficients. Thus, the existence of allowed angular frequencies stemming from this procedure is meaningless and unphysical.

Related papers

• Non-Hermitian linear perturbation to a Hamiltonian with a constant electromagnetic field and Hall conductivity [0.0]
  The impact of non-Hermitian perturbations on Weyl Hamiltonians is expected to provide valuable insights for classifying topological phase transitions. Previous theoretical work has shown that the quantization of Hall conductivity in the quantum anomalous Hall effect is lost.
  arXiv  Detail & Related papers  (2025-02-18T19:51:42Z)
• Quantum optical scattering by macroscopic lossy objects: A general approach [55.2480439325792]
  We develop a general approach to describe the scattering of quantum light by a lossy macroscopic object placed in vacuum. We exploit the input-output relation to connect the output state of the field to the input one. We analyze the impact of the classical transmission and absorption dyadics on the transitions from ingoing to outgoing s-polariton.
  arXiv  Detail & Related papers  (2024-11-27T17:44:29Z)
• Quantum electrodynamics of lossy magnetodielectric samples in vacuum: modified Langevin noise formalism [55.2480439325792]
  We analytically derive the modified Langevin noise formalism from the established canonical quantization of the electromagnetic field in macroscopic media. We prove that each of the two field parts can be expressed in term of particular bosonic operators, which in turn diagonalize the electromagnetic Hamiltonian.
  arXiv  Detail & Related papers  (2024-04-07T14:37:04Z)
• Unveiling the Quantum Toroidal Dipole in Nanosystems: Quantization, Interaction Energy, and Measurement [44.99833362998488]
  We investigate a quantum particle confined to a toroidal surface in the presence of a filiform current along the system's rotational axis. Our analysis reveals that the interaction between the particle and the current induces a non-zero toroidal dipole in the particle's stationary states.
  arXiv  Detail & Related papers  (2024-01-26T13:31:32Z)
• On the Quantum Uncertainty of the Neutron Electric Dipole Moment [0.0]
  We discuss the apparent tension resulting from the discrepancy of about 13 orders of magnitude between the current bounds and the expected quantum uncertainty in the relevant quantity. We offer a resolution of the "puzzle" in terms of the notion of a weak measurement.
  arXiv  Detail & Related papers  (2023-09-30T00:55:43Z)
• Entanglement of annihilation photons [141.5628276096321]
  We present the results of a new experimental study of the quantum entanglement of photon pairs produced in positron-electron annihilation at rest. Despite numerous measurements, there is still no experimental proof of the entanglement of photons.
  arXiv  Detail & Related papers  (2022-10-14T08:21:55Z)
• Probing Lorentz-Invariance-Violation Induced Nonthermal Unruh Effect in Quasi-Two-Dimensional Dipolar Condensates [8.525585842701528]
  The Unruh effect states an accelerated particle detector registers a thermal response when moving through the Minkowski vacuum. Here we propose to observe analogue circular Unruh effect using an impurity atom in a quasi-two-dimensional Bose-Einstein condensate.
  arXiv  Detail & Related papers  (2022-05-18T00:46:58Z)
• Effects of a background scalar field induced by the Lorentz symmetry violation on Non Relativistic Quantum Mechanics [0.0]
  We investigate a extension of the Schr"odinger Equation inspired on that model taking into account a background scalar field. We analyze the behavior of this modified Schr"odinger equation on a particle trapped in a well and quantum harmonic oscillator.
  arXiv  Detail & Related papers  (2021-05-10T19:58:23Z)
• 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: "On the influence of a Coulomb-like potential induced by the Lorentz symmetry breaking effects on the harmonic oscillator''. Eur. Phys. J. Plus (2012) \textbf{127}: 102 [0.0]
  We show that the truncation condition proposed by the authors only provides one energy eigenvalue for a particular model potential. The dependence of the cyclotron frequency on the quantum numbers is a mere artifact of the truncation condition.
  arXiv  Detail & Related papers  (2020-09-28T14:16:21Z)
• General quantum-mechanical solution for twisted electrons in a uniform magnetic field [68.8204255655161]
  A theory of twisted (and other structured) paraxial electrons in a uniform magnetic field is developed. The observable effect of a different behavior of relativistic Laguerre-Gauss beams with opposite directions of the orbital angular momentum penetrating from the free space into a magnetic field is predicted.
  arXiv  Detail & Related papers  (2020-05-13T16:35:10Z)

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.