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arXiv 0806.3113astro-phphysics.atom-ph
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强磁场中的氢原子和氦原子

Hydrogen and Helium atoms in strong magnetic fields

Anand Thirumalai, Jeremy S. Heyl

摘要:

本文计算了强磁场中氢原子和氦原子的能级。目前的工作包含这些系统的前几个低洼状态的结合能的估计,这是对以前的估计的改进。该方法包括计算这些单电子和双电子系统的广义二维Hartree-Fock偏微分方程的本征值和本征向量的自洽方式。这里描述的方法适用于任意强度的磁场中的原子结构的计算,因为它利用了问题的自然对称性,而不假设用于表示电子的波函数的任何基函数或通常采用的绝热近似。该方法被发现是很容易扩展到系统具有两个以上的电子。

英文摘要:

The energy levels of hydrogen and helium atoms in strong magnetic fields are calculated in this study. The current work contains estimates of the binding energies of the first few low-lying states of these systems that are improvements upon previous estimates. The methodology involves computing the eigenvalues and eigenvectors of the generalized two-dimensional Hartree-Fock partial differential equations for these one- and two-electron systems in a self-consistent manner. The method described herein is applicable to calculations of atomic structure in magnetic fields of arbitrary strength as it exploits the natural symmetries of the problem without assumptions of any basis functions for expressing the wave functions of the electrons or the commonly employed adiabatic approximation. The method is found to be readily extendable to systems with more than two electrons.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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