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arXiv 1403.7622hep-th
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洛伦兹破坏与凝聚态物理

Lorentz violation and Condensed Matter Physics

Muhammad Adeel Ajaib

摘要:

我们提出了启发式的论点,暗示了一个可能的连接洛伦兹破坏与观察到的现象在凝聚态物理。引用了凝聚态文献中的各种参考文献,其中标准模型扩展中的算子似乎得到了增强。此外,我们考虑了Levy-Leblond方程,它是非相对论性量子力学中Dirac方程的类似物。我们证明了在Dirac方程中加入增强的Lorentz破坏算子可以得到Levy-Leblond方程。在此基础上,我们提出了洛伦兹破坏在非相对论量子力学中的存在。

英文摘要:

We present heuristic arguments that hint to a possible connection of Lorentz violation with observed phenomenon in condensed matter physics. Various references from condensed matter literature are cited where operators in the Standard Model Extension appear to be enhanced. Furthermore, we consider the Levy-Leblond equation, which is the analogue of Dirac equation in non-relativistic quantum mechanics. We show that we can obtain the Levy-Leblond equation by adding enhanced Lorentz violating operators to the Dirac equation. Based on these observations, we propose that Lorentz violation exhibits itself in non-relativistic quantum mechanics.

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