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

2021/05/10 by García-Aguilar, J. D.
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.2105.04644

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 Schrödinger Equation inspired on that model taking into account a background scalar field. We analyze the behavior of this modified Schrödinger equation on a particle trapped in a well and quantum harmonic oscillator.

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