ON THE GROUND STATE OF THE HELIUM ATOM

 EGIL A. HYLLERAAS 

in Gottingen

 

 Received 16 March 1928.)

 

ABSTRACT 

 The goal of this work is a calculation of the ionisation potential of the helium atomwhich is as precise as possible.To this end a method for the solution of the Schrodingerequation is used,which resembles the method ofRitz1for the solution of the variationalproblem.The calculations are extended through eleventh order,and the ground termobtained in this way differs from the one obtained by experimentby only 1.5 prom. Bycontrast,the ionisation potential differs by 4.8 prom.since the subtract

 

https://sci-hub.se/https://doi.org/10.1142/9789812795762_0005