电子在交叉磁场和电场中的传输
Electron propagation in crossed magnetic and electric fields
摘要：
激光与原子相互作用是产生相干电子的有效机制。我们分析了单能电子在均匀垂直磁场和电场中的动力学行为。本文用格林函数方法导出了单电子和电子的稀费米气体的场致量子力学漂移运动的解析结果。该方法产生的漂移电流，并在同一时间，它使我们能够定量地建立由于电场的（磁）朗道能级的加宽：水平数k被分裂成k+1个子级，使$k$ th振子本征态的能量空间。如果电场超过临界强度，则相邻的朗道能级将重叠。我们的观察是相关的量子霍尔配置时，电场效应应考虑。
英文摘要：
Laser-atom interaction can be an efficient mechanism for the production of coherent electrons. We analyze the dynamics of monoenergetic electrons in the presence of uniform, perpendicular magnetic and electric fields. The Green function technique is used to derive analytic results for the field--induced quantum mechanical drift motion of i) single electrons and ii) a dilute Fermi gas of electrons. The method yields the drift current and, at the same time it allows us to quantitatively establish the broadening of the (magnetic) Landau levels due to the electric field: Level number k is split into k+1 sublevels that render the $k$th oscillator eigenstate in energy space. Adjacent Landau levels will overlap if the electric field exceeds a critical strength. Our observations are relevant for quantum Hall configurations whenever electric field effects should be taken into account.
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