The shell model of electron structure of negative hydrogen ion

: pp. 144-151
Received: January 29, 2019
Revised: June 05, 2019
Accepted: June 06, 2019

Math. Model. Comput. Vol.6, No.1, pp.144-151 (2019)

Ivan Franko National University of Lviv
Ivan Franko National University of Lviv
Ivan Franko National University of Lviv

In the frame of non-relativistic approximation, a compact approximate solution of the Schrödinger equation for the ion of $H^{-}$ has been obtained in the form of product for Legendre polynomials and variational functions of the Schull--Löwdin type. The accuracy of calculation of ion energy is of the same order that the results obtained using the multiparametric functions of Hylleraas and Pekeris.

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