论文标题
氢分子离子的一维模型的电离率和鲜明的变化
Ionisation rate and Stark shift of a one-dimensional model of the Hydrogen molecular ion
论文作者
论文摘要
在本文中，我们研究了H $ _ {2}^{+} $ ion的一维模型的电离率和鲜明的变化。这两个数量的发现减少为复杂的特征值问题的解决方案。我们在数值和分析上都解决了这个问题。在后一种情况下，我们考虑了小的外部静电场和小核心距离的状态。我们发现，即使将近似结果推到了其预期的有效性之外，我们发现使用两种方法计算出的电离率之间有一个很好的一致性。电离速率对外部静电场的微小变化非常敏感，跨越了许多数量级，用于外部场的强度的小变化。还研究了离子化对核能内距离的依赖性，因为这与分子物理学中的实验方法有直接的联系。结果表明，对于较大的距离，电离速率饱和，这是能量特征值与内部距离距离的直接结果。计算出鲜明的偏移，我们从中提取了h $ _ {2}^{+} $的静态极化性，并将我们的结果与其他作者使用更复杂的方法进行比较。
In this paper we study the ionization rate and the Stark shift of a one-dimensional model of the H$_{2}^{+}$ ion. The finding of these two quantities is reduced to the solutions of a complex eigenvalue problem. We solve this problem both numerically and analytically. In the latter case we consider the regime of small external electrostatic fields and small internuclear distances. We find an excellent agreement between the ionization rate computed with the two approaches, even when the approximate result is pushed beyond its expected validity. The ionization rate is very sensitive to small changes of the external electrostatic field, spanning many orders of magnitude for small changes of the intensity of the external field. The dependence of the ionization on the internuclear distance is also studied, as this has a direct connection with experimental methods in molecular physics. It is shown that for large distances the ionization rate saturates, which is a direct consequence of the behavior of the energy eigenvalue with the internuclear distance. The Stark shift is computed and from it we extract the static polarizability of H$_{2}^{+}$ and compare our results with those found by other authors using more sophisticated methods.
