Centrifugal terms in the WKB approximation and semiclassical quantization of hydrogen
Physical Review A - Atomic, Molecular, and Optical Physics, ISSN: 1094-1622, Vol: 60, Issue: 2, Page: 1698-1701
1999
- 22Citations
- 9Captures
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Article Description
A systematic semiclassical expansion of the hydrogen problem about the classical Kepler problem is shown to yield remarkably accurate results. Ad hoc changes of the centrifugal term, such as in the WKB approximation and semiclassical quantization of hydrogen, where the factor [Formula Presented] is replaced by [Formula Presented], are avoided. Expanding systematically in powers of ħ, the semiclassical energy levels are shown to be exact to first order in [Formula Presented] with all higher-order contributions vanishing. The wave functions and dipole matrix elements are also discussed. © 1999 The American Physical Society.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=0004352954&origin=inward; http://dx.doi.org/10.1103/physreva.60.1698; https://link.aps.org/doi/10.1103/PhysRevA.60.1698; http://harvest.aps.org/v2/journals/articles/10.1103/PhysRevA.60.1698/fulltext; http://link.aps.org/article/10.1103/PhysRevA.60.1698
American Physical Society (APS)
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