Analytical S-matrix derivation in the theory of the nonhydrogenic Stark effect

An analytical scattering matrix is found for Rydberg atoms in the external electric field at negative energies. The exact relation between the Coulomb spherical and parabolic irregular solutions is obtained, which is then used to find the physical solution of the Stark problem bounded at infinity an...

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Bibliographic Details
Published in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2019-09, Vol.52 (38), p.385302
Main Authors: Ushakov, V G, Osherov, V I, Medvedev, E S
Format: Article
Language:English
Subjects:
matrix
quantum defect
Rydberg atoms
Stark effect
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Summary:An analytical scattering matrix is found for Rydberg atoms in the external electric field at negative energies. The exact relation between the Coulomb spherical and parabolic irregular solutions is obtained, which is then used to find the physical solution of the Stark problem bounded at infinity and satisfying the quantum-defect boundary condition within the region next to the ion core where the external field does not mix the states with a definite orbital momentum. The S matrix thus found can be used for interpreting various experimental data, such as positions and widths of lines in the photo-absorption spectra, photoionization cross-section, and ionization microscopy.
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8121/ab2efa