On the energy levels of a model of the compressed hydrogen atom
โ Scribed by S.R. De Groot; C.A. Ten Seldam
- Publisher
- Elsevier Science
- Year
- 1946
- Weight
- 489 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0031-8914
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โฆ Synopsis
In the problem of the "compressed hydrogen atom" the boundary condition that the wave function 9 must be zero for infinite r, is replaced by the condition that o must have a zero point at a finite r = r 0. This leads to an investigation of properties of the zeros of the confluent hypergeometric function. The shifts of the Is, 2s and 2p levels by compression are calculated and tables and graphs are given for corresponding values of the energy and of r 0. *) Fundamental units e, m, and h = h/2rยข. The trait of length is then ao~ ~'-/me 2 and the unit of energy ise2/ao (Mic hels, De Boer and Bijl~) takee'-/2a o as nnit of energy).
๐ SIMILAR VOLUMES
The helium atom, enclosed in a spherical box of radius r 0' has been used as a model of compressed helium. From wave functions for this model, the polarizability is calculated as a function of r 0 and the corresponding pressure. It is found that at 1000 atmospheres the polarizability is diminished b