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Simple Expression of Occupation Probability in the “Chemical Picture”

机译:在“化学图谱”中简单表示职业概率

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摘要

We propose a simple analytical expression for the occupation probability of highly excited states in low-density hydrogenic plasmas. This expression is based on the "chemical picture" and is derived by using the Holtsmark field and the saddle-point estimates. We believe that this expression would be a basic model in the chemical picture since ion-ion correlation is neglected and the simple saddle-point estimates are used. If the density of the plasma is low enough and the temperature is high enough, this expression would be a good approximation. If not, this model gives roughly the critical principal quantum number at which bound states disappear and the basic reference numerical values of the occupation probability for quantitative comparison study with numerical results by detailed modeling.
机译:我们提出了一个简单的解析表达式,用于在低密度氢等离子体中高激发态的占据概率。该表达式基于“化学图片”,是通过使用Holtsmark字段和鞍点估计值得出的。我们认为,由于忽略了离子与离子的相关性,并且使用了简单的鞍点估计,因此该表达式将成为化学图中的基本模型。如果等离子体的密度足够低并且温度足够高,则该表达式将是一个很好的近似值。如果不是这样,则该模型将粗略地给出束缚态消失的临界主量子数和占领概率的基本参考数值,以便通过详细建模对数值结果进行定量比较研究。

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