Exact solutions of the Schrödinger equation for 1,3S states of the atom with Fues–Kratzer-type potential

✍ Scribed by Zeynel Yalçın; Meti̇n Aktaş; Mehmet Şi̇mşek

• Publisher: John Wiley and Sons
• Year: 2000
• Tongue: English
• Weight: 233 KB
• Volume: 76
• Category: Article
• ISSN: 0020-7608
• DOI: 10.1002/(sici)1097-461x(2000)76:5<618::aid-qua4>3.0.co;2-9

✦ Synopsis

In this article exact solutions of a two-electron Schrödinger equation for the Coulomb potential were extended to the Fues-Kratzer-type potential: ( Ẑ( )/r) + ( Â/r 2 ). The wave function (r, ) 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 1,3 S 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.