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Published July 10, 1978 | Published
Journal Article Open

Stark Effect Revisited

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.

Additional Information

© 1978 American Physical Society. (Received 8 May 1978) It is a pleasure to thank W. Reinhardt and J. Howland for stimulating discussions and S. Graffi and V. Grecchi for correspondence and copies of their preprints. This work was supported in part by the National Science Foundation, Grant No. MPS-75-11864.

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Published - PhysRevLett.41.67.pdf

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August 19, 2023
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