New approach to the study of logarithmic in m1/m2 corrections in fine shift of energy levels of hydrogen-like atoms

N. A. Boikova; S. V. Kleshchevskaya; N. E. Nunko; Yu. N. Tyukhtyaev

doi:10.1117/12.469601

3 June 2002 New approach to the study of logarithmic in m₁/m₂ corrections in fine shift of energy levels of hydrogen-like atoms

N. A. Boikova, S. V. Kleshchevskaya, N. E. Nunko, Yu. N. Tyukhtyaev

Author Affiliations +

Proceedings Volume 4706, Saratov Fall Meeting 2001: Laser Physics and Photonics, Spectroscopy, and Molecular Modeling II; (2002) https://doi.org/10.1117/12.469601
Event: Saratov Fall Meeting 2001, 2001, Saratov, Russian Federation

Abstract

A new method of calculation of the values the fine shifts of energy levels of bound states is considered basing on the upgraded relativistic quasipotential equation. The appropriate perturbation theory permitting to calculate the shifts of the energy levels in hydrogen-like atoms with high accuracy is developed. The new logarithmic corrections of the order (alpha) ⁴ln(beta) ^-1, (alpha) ⁵(beta) ²Ln(beta) ^-1 are obtained and earlier results are confirmed.

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N. A. Boikova, S. V. Kleshchevskaya, N. E. Nunko, and Yu. N. Tyukhtyaev "New approach to the study of logarithmic in m₁/m₂ corrections in fine shift of energy levels of hydrogen-like atoms", Proc. SPIE 4706, Saratov Fall Meeting 2001: Laser Physics and Photonics, Spectroscopy, and Molecular Modeling II, (3 June 2002); https://doi.org/10.1117/12.469601

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