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

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.

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