Expectation values offor arbitrary hydrogenic states
- 1 August 1990
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 42 (3) , 1123-1126
- https://doi.org/10.1103/physreva.42.1123
Abstract
Expectation values of for an arbitrary nl hydrogenic state are expressed in terms of state-independent coefficients that are determined by a simple recursion relation. Explicit results are given for negative P down to -16 and, by an algebraic transformation, for positive P up to 13. Closed-form expressions are obtained for the coefficients of the two highest-order terms in l multiplying each power of n. The result is an asymptotic expression valid for each P and sufficiently large l.
Keywords
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