Abstract In this letter, we have discussed the implications of nonlocal-in-time kinetic energy approach recently introduced by Suykens on the dynamics of charge particles spin in a magnetic field with spin. It was observed that both the Landau quantization of the energy and their levels positions are modified. Besides, massive photons are generated in magnetic materials similar to the one encountered in massive quantum electrodynamics. These massive photons depend on the electron mass and on the nonlocal relaxation time. For solid copper, we found M ≈ 3.4 × 10 - 20 α - 2 eV / c 2 where α is a real free parameter.

中文翻译：

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来自非局部量化的磁性材料中的大量光子

摘要 在这封信中，我们讨论了 Suykens 最近引入的非局部时间动能方法对带自旋磁场中带电粒子自旋动力学的影响。据观察，能量的朗道量子化及其能级位置都被修改。此外，磁性材料中会产生大量光子，类似于大规模量子电动力学中遇到的光子。这些大量光子取决于电子质量和非局部弛豫时间。对于实心铜，我们发现 M ≈ 3.4 × 10 - 20 α - 2 eV / c 2 其中 α 是一个真正的自由参数。