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Dispersion relations for stark energy shifts in hydrogen atom

✍ Scribed by S.C Kanavi; C.H Mehta; S.H Patil

Publisher: Elsevier Science
Year: 1979
Tongue: English
Weight: 805 KB
Volume: 120
Category: Article
ISSN: 0003-4916
DOI: 10.1016/0003-4916(79)90396-8

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✦ Synopsis

On the basis of an approximate but nonperturbative expression for the energy shift 6E in the ground state of the hydrogen atom in the presence of an electric field of strength B, we deduce that 6E has a branch point at 8 = 0, and an asymptotic behavior SE--f -3 B In I as B-co.

These properties lead to a twice-subtracted dispersion relation for SE as a function of 1. The dispersion relations in conjunction with the WKB approximation and the perturbation series allow us to (i) deduce the large-n behavior of the coefficient of I" in the perturbation series for SE(&) including l/n corrections and (ii) obtain the energy shift and the level width of the ground state for a large range of values of 8. The agreement with the earlier numerical calculations is very satisfactory.

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