Published March 12, 1979
| Published
Journal Article
Open
Bender-Wu Formula and the Stark Effect in Hydrogen
- Creators
- Benassi, L.
- Grecchi, V.
- Harrell, E.
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Simon, B.
Abstract
We discuss a close connection between the formula of Banks, Bender, and Wu for the asymptotics of the Rayleigh-Schrödinger coefficients of the two-dimensional rotationally symmetric anharmonic oscillator and the behavior of resonances of the hydrogen Stark problem in two regimes: small field (Oppenheimer's formula) and large field (where we obtain the new results arg E → −π/3, ∣E∣ ∼α[F(lnF)^(2/3) for F, the electric field strength, going to infinity). We also announce a rigorous proof of Bender-Wu-type formulas.
Additional Information
© 1979 American Physical Society. (Received 23 October 1978) It is a pleasure to thank S. Graffi and I. Herbst for their interest and valuable comments. This research was supported in part by the National Science Foundation, Grant No. MCS 78-01885 and in part by the Istituto Nazionale di Fisica Nucleare, Sezione di Bologna. One of us (E.H. ) acknowledges receipt of a National Science Foundation National Needs Fellowship.Attached Files
Published - PhysRevLett.42.704.pdf
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PhysRevLett.42.704.pdf
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Additional details
- Eprint ID
- 85923
- Resolver ID
- CaltechAUTHORS:20180417-154002869
- MCS 78-01885
- NSF
- Istituto Nazionale di Fisica Nucleare (INFN)
- Created
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2018-04-18Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field