SIMPLE, ANALYTIC ATOMIC WAVE FUNCTIONS WITH APPLICATION TO CESIUM
Thesis/Dissertation
·
OSTI ID:4734023
BS>A new method is presented for the determination of analytic, one- electron wave functions for an electron in an approximately self-consistent screened Coulomb field. The method, which requires relatively small effort, does not require direct numerical solution of the Schroedinger equation. lnstead, for each state two parameters are adjusted to make a certain expression for the screening function approximate the Thomas-Fermi screening function for the atom in question. When this is done, a simple, analytic expression for the eigen function is obtained, along with the corresponding energy eigenvalue for that state. Such wave functions are obtained for all of the lower excited states of cesium as well as the normally filled states of potassium. The analytic wave functions thus obtained are simple enough so that approximate expectation values of certain quantities can be easily calculated by analytic methods. As a first illustration of the methods the normalization constarts for several of the cesium states are calculated. Then the fine structure and hyperfine structure energy splittings of cesium are calculated. The calculation of transition probabilities is also considered, and the calculation is carried out for the 6s --6p transition of cesium. The results of the calculations usually agree well with experimental values and with other calculations, which indicates a high degree of validity for the wave functions. (Dissertation Abstr., 23: No. 5, Nov. 1962)
- Research Organization:
- Originating Research Org. not identified
- NSA Number:
- NSA-17-009139
- OSTI ID:
- 4734023
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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