We have investigated the influence of a strong magnetic field on various aspects of a quantum Fermi plasma. Due to the strong magnetic field, the distribution function becomes anisotropic. First, we consider non-degenerate quantum, Landau and Kelly distribution function. It was found that the adiabatic equation is similar to the adiabatic equation for a Maxwell distribution function, when we include the magnetic field in the energy expression. Using the Kelly distribution for a degenerate, quantum Fermi gas, parallel and perpendicular components of the pressure were derived. It was found that perpendicular component of pressure never becomes zero and three-dimensional system always stay three-dimensional. Lastly, we investigated electron emission from metals and have shown the influence of the magnetic field. We calculated thermionic emission, the so-called Richardson effect. In addition, we investigate the influence of external electromagnetic radiation on the electron current density (Hallwachs effect) from metals.

中文翻译：

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Landau-Kelly 表示量子等离子体的统计热力学和金属的电子发射

我们研究了强磁场对量子费米等离子体各个方面的影响。由于强磁场，分布函数变得各向异性。首先，我们考虑非简并量子、朗道和凯利分布函数。当我们在能量表达式中包含磁场时，发现绝热方程类似于麦克斯韦分布函数的绝热方程。使用简并量子费米气体的凯利分布，导出了压力的平行和垂直分量。发现压力的垂直分量永远不会为零，三维系统始终保持三维状态。最后，我们研究了金属的电子发射，并展示了磁场的影响。我们计算了热电子发射，所谓的理查森效应。此外，我们还研究了外部电磁辐射对金属电子电流密度（霍尔瓦克斯效应）的影响。