On the influence of a Coulomb-like potential induced by the Lorentz symmetry breaking effects on the Harmonic Oscillator

2012/08/31 by Knut Bakke, Humberto Belich · 1 citation
Physics and Astronomy · Mathematics · #math-ph #hep-th #math.MP #quant-ph

paper · pdf · doi:10.1140/epjp/i2012-12102-3

published as Eur. Phys. J. Plus 127, 102 (2012) · 14 pages, no figure, this work has been accepted for publication in The European Physical Journal Plus

arxiv created 2012/08/31 · arxiv updated 2012/09/20

Abstract

In this work, we obtain bound states for a nonrelativistic spin-half neutral particle under the influence of a Coulomb-like potential induced by the Lorentz symmetry breaking effects. We present a new possible scenario of studying the Lorentz symmetry breaking effects on a nonrelativistic quantum system defined by a fixed space-like vector field parallel to the radial direction interacting with a uniform magnetic field along the z-axis. Furthermore, we also discuss the influence of a Coulomb-like potential induced by Lorentz symmetry violation effects on the two-dimensional harmonic oscillator.

Cited by

• Relativistic Landau–He–McKellar–Wilkens quantization and relativistic bound states solutions for a Coulomb-like potential induced by the Lorentz symmetry breaking effects

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