Journal of Physical Studies 12(3), Article 3001 [14 pages] (2008) DOI: https://doi.org/10.30970/jps.12.3001 LOCALIZED STATES OF THE ELECTRON IN THE SCREENED FIELD: EXACT SOLUTIONS AND APPROXIMATE CALCULATION ENERGY SPECTRUM M. V. Vavrukh, N. L. Tyshko, O. M. Stelmakh, R. I. Korytko Ivan Franko National University of Lviv, Department for Astrophysics, 8 Kyryla i Mefodija St., Lviv, UA--79005, Ukraine

The radial functions of the electron bound states in the field of the screened charge are represented in the form of the parameter integrals of infinite multiplicity. The algebraic equations which determine the energy levels considered have the analogous form. These exact relations are applied for the approximate calculations of energy spectrum and critical levels of the screening parameter.

PACS number(s): 05.30.Fk

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