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arXiv · 1504.01417

Schr\"odinger-Pauli Equation for the Standard Model Extension CPT-Violating Dirac Equation

Thomas D. Gutierrez
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Abstract

It is instructive to investigate the non-relativistic limit of the simplest Standard Model Extension (SME) CPT-violating Dirac-like equation but with minimal coupling to the electromagnetic fields. In this limit, it becomes an intuitive Schr\"odinger-Pauli-like equation. This is comparable to the free particle treatment as explored by Kostelecky and Lane, but this exercise only considers the $a$ and $b$ CPT-violating terms and $\vec{p}/m$ terms to first order. Several toy systems are discussed.

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Thomas D. Gutierrez. 2015-04-06. Schr\"odinger-Pauli Equation for the Standard Model Extension CPT-Violating Dirac Equation. https://arxiv.org/abs/1504.01417

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