Journal of Physical Studies 13(2), Article 2001 [10 pages] (2009) DOI: https://doi.org/10.30970/jps.13.2001 LOCALIZED STATES OF THE ELECTRON IN THE SCREENED FIELD: THE APPLICATION OF ASYMPTOTIC SERIES M. V. Vavrukh, O. M. Stelmakh, N. L. Tyshko Ivan Franko National University of Lviv, Department for Astrophysics, 8 Kyryla i Mefodija St., Lviv, UA--79005, Ukraine

The analytical relations which determine a dependence of energy levels and radial wave functions on the screening parameter were obtained using the asymptotic series. The critical values of the screening parameter which determines the transitions of discrete levels of the energy spectrum to continuum were calculated. The phenomena of the crossover of energy levels was also studied.

PACS number(s): 05.30.Fk

pdf