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首页> 外文期刊>Journal of physics, A. Mathematical and theoretical >Calculation of a hydrogen atom photoionization in a strong magnetic field by using the angular oblate spheroidal functions
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Calculation of a hydrogen atom photoionization in a strong magnetic field by using the angular oblate spheroidal functions

机译：利用角扁球体函数计算强磁场中的氢原子光电离

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摘要

A new efficient method for calculating the photoionization of a hydrogen atom in a strong magnetic field is developed based on the Kantorovich approach to the parametric boundary problems in spherical coordinates using the orthogonal basis set of angular oblate spheroidal functions. The progress as compared with our previous paper ( Dimova M G, Kaschiev M S and Vinitsky S I 2005 J. Phys. B: At. Mol. Opt. Phys. 38 2337 -52) consists of the development of the Kantorovich method for calculating the wavefunctions of a continuous spectrum, including the quasi-stationary states imbedded in the continuum. Resonance transmission and total reflection effects for scattering processes of electrons on protons in a homogenous magnetic field are manifested. The photoionization cross sections found for the ground and excited states are in good agreement with the calculations by other authors and demonstrate correct threshold behavior. The estimates using the calculated photoionization cross section show that due to the quasi-stationary states the laser-stimulated recombination may be enhanced by choosing the optimal laser frequency.
机译：基于Kantorovich方法，使用角扁球体函数的正交基集，针对球坐标系中的参数边界问题，开发了一种新的有效方法来计算强磁场中氢原子的电离作用。与我们之前的论文（Dimova MG，Kaschiev MS和Vinitsky SI 2005 J. Phys。B：At。Mol。Opt。Phys。38 2337 -52）相比，该进展包括Kantorovich方法的发展，该方法可用于计算波托函数。包括连续谱中嵌入的准平稳状态的连续谱。证明了在均匀磁场中电子在质子上的散射过程的共振传输和全反射效应。发现的基态和激发态的光电离截面与其他作者的计算结果非常吻合，并证明了正确的阈值行为。使用计算出的光电离截面的估计表明，由于处于准平稳状态，可以通过选择最佳激光频率来增强激光刺激的重组。

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