arXiv 2105.046442021-05-10quant-phhep-ph

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

J. D. García-Aguilar

备注：: 7 pages, 3 figures

英文摘要：

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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