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arXiv physics/0506019physics.atom-ph
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强磁场中的氢原子和单电子分子系统：它们都一样吗？

Hydrogen atom and one-electron molecular systems in a strong magnetic field: are all of them alike?

A. V. Turbiner, A. B. Kaidalov, J. C. Lopez Vieyra

备注：
22 Pages, 22 Figures, 4 Tables, Invited Contribution to appear in Collection of Czechoslovak Chemical Communications, Special Issue in honor of Professor Josef Paldus
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摘要：

给出了${\rm H}$原子和分子离子$${\rm H}_2^{(+)} ({\rm ppe}), {\rm H}_3^{(2+)} ({\rm pppe}), ({\rm HeH})^{++} (\al {\rm p e}), {\rm He}_2^{(3+)} (\al \al {\rm e})$$的总能量和结合能，以及${\rm H}$原子的四极矩和分子离子在强磁场$> 10^{9}$ G中的平衡距离的物理近似.近似的思想是基于这样的假设，即强磁场中单电子库仑系统的动力学由电子云的横向尺寸与纵向尺寸之比决定。

英文摘要：

Easy physics-inspired approximations of the total and binding energies for the ${\rm H}$ atom and for the molecular ions $${\rm H}_2^{(+)} ({\rm ppe}), {\rm H}_3^{(2+)} ({\rm pppe}), ({\rm HeH})^{++} (\al {\rm p e}), {\rm He}_2^{(3+)} (\al \al {\rm e})$$ as well as quadrupole moment for the ${\rm H}$ atom and the equilibrium distances of the molecular ions in strong magnetic fields $> 10^{9}$ G are proposed. The idea of approximation is based on the assumption that the dynamics of the one-electron Coulomb system in a strong magnetic field is governed by the ratio of transverse to longitudinal sizes of the electronic cloud.

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