Semiclassical theory of quantum defects: Alkali Rydberg states
- 1 February 1977
- journal article
- research article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 66 (3), 1285-1289
- https://doi.org/10.1063/1.434023
Abstract
A semiclassical theory of atomic quantum defects is given in terms of a ’’radial action defect’’ derived in the context of Hamilton–Jacobi theory. This derivation leads to the relation δl(E) =πμl(E) between the semiclassical (WKB) phase shift and the semiclassical quantum defect, a result identical in form to that of Seaton for the analogous fully quantum mechanical quantities. The semiclassical theory is used to compute quantum defects for the l=0→3 Rydberg states of Li and the l=0→4 states of Na and K, with good results.Keywords
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