Stark effect in hydrogen: Reconstruction of the complex ground-state energy from the coefficients of an asymptotic perturbation expansion
- Institute of Spectroscopy, Academy of Sciences of Russia, Troitsk, Moscow Region 142092 (Russia)
We consider the Stark effect for the ground state of hydrogen. Using the Borel summability of the Rayleigh-Schr{umlt o}dinger perturbation expansion we sum it about the pure imaginary field strength E=iF, F is real. As a result we obtain the series converging for small values of F. We give arguments that this series converges for all positive finite values of F. The series obtained can be continued analytically back to the real field strength region. This method allows one to obtain accurate results for the hydrogenic Stark resonances with slight computational effort. {copyright} {ital 1997} {ital The American Physical Society}
- OSTI ID:
- 531765
- Journal Information:
- Physical Review A, Journal Name: Physical Review A Journal Issue: 1 Vol. 56; ISSN 1050-2947; ISSN PLRAAN
- Country of Publication:
- United States
- Language:
- English
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