Stark Effect Revisited

Ira Herbst, Barry Simon

Type: Article

Publication Date: 1978-07-10

Citations: 151

DOI: https://doi.org/10.1103/physrevlett.41.67

Abstract

We extend the rigorous theory of complex scaling to atoms in constant electric field. This allows one to give a precise mathematical definition of resonance and leads to several results about the perturbation series: Borel summability at nonreal field and a relation between the asymptotics of the perturbation coefficients for large $n$ and the width of the resonance for small field.

Locations

Physical Review Letters - View
CaltechAUTHORS (California Institute of Technology) - View - PDF

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+	An improvement of Watson’s theorem on Borel summability	1980	Alan D. Sokal
+	Some properties of Borel summable functions	1981	G. Auberson G. Mennessier
+	A further reason to worry about the meaning of perturbation expansions	1983	G. Auberson G. Mennessier
+	High-order stark effect perturbation series for hydrogenic ions via the perturbational-variational Rayleigh-Ritz formalism	1986	Jeremiah N. Silverman Jürgen Hinze
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