Effects of a background scalar field induced by the Lorentz symmetry violation on Non Relativistic Quantum Mechanics

• URL: http://arxiv.org/abs/2105.04644v1
• Date: Mon, 10 May 2021 19:58:23 GMT
• Title: Effects of a background scalar field induced by the Lorentz symmetry violation on Non Relativistic Quantum Mechanics
• Authors: J. D. Garc\'ia-Aguilar
• Abstract summary: 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.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The extension of Standard Model of the Fundamental Particles which consider the Lorentz Symmetry Violation governed by a background tensor field presented by Colladay and Kostelecky consider the hypothesis of having a privileged direction in the space-time. Here we investigated 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.

Related papers

• Generalization of the exact Eriksen and exponential operators of the Foldy-Wouthuysen transformation to arbitrary-spin particles in nonstationary fields [55.2480439325792]
  We use the Foldy-Wouthuysen transformation which allows one to obtain the Schr"odinger picture of relativistic quantum mechanics. Unlike previous publications, we determine exact Eriksen and exponential operators of the Foldy-Wouthuysen transformation.
  arXiv  Detail & Related papers  (2024-10-27T18:41:50Z)
• Quantum Mechanics in Curved Space(time) with a Noncommutative Geometric Perspective [0.0]
  We take seriously the noncommutative symplectic geometry corresponding to the quantum observable algebra. The work points to a very different approach to quantum gravity.
  arXiv  Detail & Related papers  (2024-06-20T10:44:06Z)
• Comment on "Relativistic quantum oscillator model under the effects of the violation of Lorentz symmetry by an arbitrary fixed vector field'' by Faizuddin Ahmed [0.0]
  We obtain the correct expressions for the energy and normalized eigenfunctions for a spin-zero relativistic quantum oscillator model under the violation of Lorentz symmetry defined by an arbitrary constant vector field $vmu$.
  arXiv  Detail & Related papers  (2023-03-08T14:35:02Z)
• Measurement phase transitions in the no-click limit as quantum phase transitions of a non-hermitean vacuum [77.34726150561087]
  We study phase transitions occurring in the stationary state of the dynamics of integrable many-body non-Hermitian Hamiltonians. We observe that the entanglement phase transitions occurring in the stationary state have the same nature as that occurring in the vacuum of the non-hermitian Hamiltonian.
  arXiv  Detail & Related papers  (2023-01-18T09:26:02Z)
• Effects of Lorentz Symmetry Breaking Environment on Generalized Relativistic Quantum Oscillator Field [0.0]
  We consider a possible scenario of the Lorentz-Violating effects with a Cornell-type electric field and a linear magnetic field. We see that the eigenvalue solutions get modified by the Lorentz symmetry-breaking effects in comparison to the Landau levels.
  arXiv  Detail & Related papers  (2022-12-22T13:06:04Z)
• Fermion production at the boundary of an expanding universe: a cold-atom gravitational analogue [68.8204255655161]
  We study the phenomenon of cosmological particle production of Dirac fermions in a Friedman-Robertson-Walker spacetime. We present a scheme for the quantum simulation of this gravitational analogue by means of ultra-cold atoms in Raman optical lattices.
  arXiv  Detail & Related papers  (2022-12-02T18:28:23Z)
• Effects of Lorentz Symmetry Violation on a Relativistic Scalar Particle in Quantum Systems [0.0]
  relativistic quantum dynamics of a scalar particle under the effect of Lorentz symmetry violation determined by a tensor $(K_F)_mu,nu,alpha,beta$ out of the Standard Model Extension is investigated. We see that the bound-state solution of the modified Klein-Gordon equation can be obtained, and the spectrum of energy and the wave function depends on the Lorentz symmetry breaking parameters.
  arXiv  Detail & Related papers  (2021-06-03T04:14:00Z)
• Quantum nonlocality in extended theories of gravity [0.0]
  We consider models for which the corrections to the Einstein-Hilbert action are quadratic in the curvature invariants. We quantify nonlocal quantum correlations by means of the violation of the Clauser-Horne-Shimony-Holt inequality.
  arXiv  Detail & Related papers  (2020-12-30T21:35:51Z)
• Quantum particle across Grushin singularity [77.34726150561087]
  We study the phenomenon of transmission across the singularity that separates the two half-cylinders. All the local realisations of the free (Laplace-Beltrami) quantum Hamiltonian are examined as non-equivalent protocols of transmission/reflection. This allows to comprehend the distinguished status of the so-called bridging' transmission protocol previously identified in the literature.
  arXiv  Detail & Related papers  (2020-11-27T12:53:23Z)
• Zitterbewegung and Klein-tunneling phenomena for transient quantum waves [77.34726150561087]
  We show that the Zitterbewegung effect manifests itself as a series of quantum beats of the particle density in the long-time limit. We also find a time-domain where the particle density of the point source is governed by the propagation of a main wavefront. The relative positions of these wavefronts are used to investigate the time-delay of quantum waves in the Klein-tunneling regime.
  arXiv  Detail & Related papers  (2020-03-09T21:27:02Z)
• From stochastic spin chains to quantum Kardar-Parisi-Zhang dynamics [68.8204255655161]
  We introduce the asymmetric extension of the Quantum Symmetric Simple Exclusion Process. We show that the time-integrated current of fermions defines a height field which exhibits a quantum non-linear dynamics.
  arXiv  Detail & Related papers  (2020-01-13T14:30:36Z)

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.