arXivDaily arXiv每日学术速递 周一至周五更新
arXiv physics/9905038physics.atom-phmath-phmath.MP
收藏

模型原子电离的精确结果及其与实验的联系

Ionization of a Model Atom: Exact Results and Connection with Experiment

Ovidiu Costin, Joel L. Lebowitz, Alexander Rokhlenko

阅读 PDF
arXiv 页面 ↗HTML 原文 ↗

摘要：

证明了具有一个束缚态的模型原子在任意强度和频率的时间周期势$r$和$ω$作用下将完全电离。对于小$r$，存活概率由$e^{-Γt}$给出，次数为$Γ^{-1} \sim r^{-2n}$，其中$n$是电离所需的“光子”数，在共振时具有增强的稳定性。对于晚期，衰变类似于$t^{-3}$。结果是一个1D系统的δ函数潜力的强度$-g(1 + η(t))$，但与实验的微波电离的激发氢原子和最近的分析工作的比较表明，许多功能是普遍的。

英文摘要：

We prove that a model atom having one bound state will be fully ionized by a time periodic potential of arbitrary strength $r$ and frequency $ω$. The survival probability is for small $r$ given by $e^{-Γt}$ for times of order $Γ^{-1} \sim r^{-2n}$, where $n$ is the number of ``photons'' required for ionization, with enhanced stability at resonances. For late times the decay is like $t^{-3}$. Results are for a 1d system with a delta function potential of strength $-g(1 + η(t))$ but comparison with experiments on the microwave ionization of excited hydrogen atoms and with recent analytical work indicate that many features are universal.

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。

↑