The article demonstrates faster convergence of energy eigenvalues in the Helium atom under a specific potential, indicating improved theoretical predictions.
In this article exact solutions of a two-electron Schrodinger equation for the Coulomb potential were extended to the Fues-Kratzer-type potential: ((Z) over cap(Omega)/r) + ((A) over cap/r(2)). The wave function psi(r, Omega) is expanded into generalized Laguerre polynomials and hyperspherical harmonics. An analytical expression of two-electron systems is given for matrix elements and accurate energy eigenvalues of the excited state of S-1,S-3 helium are calculated by using the hyperspherical harmonics method. The present results are compared with previous theoretical calculations and it is concluded that the convergence of energy eigenvalues is faster.
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YALÇIN et al. (2000) studied this question.
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