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arXiv 0909.0463cond-mat.mes-hallcond-mat.other
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晶体中电子Zitterbewegung的性质

Nature of electron Zitterbewegung in crystalline solids

Wlodek Zawadzki, Tomasz M. Rusin

摘要:

我们证明了经典和量子力学的Zitterbewegung(ZB,颤抖的运动)的电子在晶体固体是没有别的,但振荡的速度,确保能量守恒时,电子在一个周期性的潜在移动。这意味着固体中的电子ZB的性质与薛定谔提出的真空中的相对论电子的性质完全不同。尽管如此,我们表明,电子能带结构的双带{ \bf k.p}模型,形式上类似于真空中电子的狄拉克方程,给出了固体中ZB的一个很好的描述。我们的结果清楚地表明,固体中电子的颤动运动是可以观察到的。

英文摘要:

We demonstrate both classically and quantum mechanically that the Zitterbewegung (ZB, the trembling motion) of electrons in crystalline solids is nothing else, but oscillations of velocity assuring the energy conservation when the electron moves in a periodic potential. This means that the nature of electron ZB in a solid is completely different from that of relativistic electrons in a vacuum, as proposed by Schrodinger. Still, we show that the two-band {\bf k.p} model of electronic band structure, formally similar to the Dirac equation for electrons in a vacuum, gives a very good description of ZB in solids. Our results indicate unambiguously that the trembling motion of electrons in solids should be observable.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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