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Spatial Electron Clouds at Fractional and Multiple Magneto-optical resonances

机译：分数和多磁光共振的空间电子云

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We solve numerically the relativistic Liouville equation for the phase space density of an atom in a uniform static magnetic field and a laser field. If the cyclotron frequency that is associated with the magnetic field is tuned slightly above a multiple or a fraction of the frequency of the laser field, the electron's dynamics becomes resonant and its velocity can approach the speed of light. We compare the spatial electron distributions at these resonances with those obtained from the corresponding non-relativistic calculations and find the formation of stable ring-shaped distributions at the multiple resonances. The fractional resonances are characterized by figure-eight or propeller-shaped distributions.
机译：我们在均匀静态磁场和激光场中以数字上求解锂相位脉冲等方程。如果与磁场相关联的回旋频略高于激光场的频率的多倍或一部分，则电子的动态变为谐振，并且其速度可以接近光速。我们将这些共振的空间电子分布与从相应的非相对论计算中获得的那些进行比较，并在多个共振处找到稳定环形分布的形成。分数谐振的特征在于图 - 八或螺旋桨形分布。

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