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Density expansion for the mobility in a quantum Lorentz model

机译:量子洛伦兹模型中迁移率的密度扩展

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摘要

We consider the mobility of electrons in an environment of static hard-sphere scatterers, which provides a realistic description of electrons in helium gas. A systematic expansion in the scatterer density is carried to second order relative to the Boltzmann result, and the analytic contribution at this order is derived, together with the known logarithmic term in the density expansion. It is shown that existing experimental data are consistent with the existence of the logarithmic term in the density expansion, but more precise experiments are needed in order to unambiguously detect it. We show that our calculations provide the necessary theoretical information for such an experiment, and give a detailed discussion of a suitable parameter range.
机译:我们考虑了在静态硬球散射体环境中电子的迁移率,这提供了氦气中电子的现实描述。相对于玻耳兹曼结果,散射体密度的系统扩展达到了第二级,并且得出了该级的分析贡献以及密度扩展中的已知对数项。结果表明,现有的实验数据与密度扩展中对数项的存在一致,但是需要更精确的实验才能对其进行明确检测。我们表明,我们的计算为此类实验提供了必要的理论信息,并对合适的参数范围进行了详细讨论。

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