Legendre Polynomials are Associated in the Schrodinger Polar Equation of Helium Ions

Bambang Supriadi (Jember University)
Eryna Dwicahyaning Krisnawanto (Jember University)
Ratih Wahyudianti (Jember University)
Mohammad Fathorrosi (Jember University)
Muhammad Najih Hamdi (Jember University)
Eka Citra Rahayu (Jember University)
Haniyah Alivia (Jember University)

Jurnal Penelitian Pendidikan IPA (JPPIPA)
Vol 10 No 5 (2024): May

The helium ion is one of the ions classified as a hydrogenic atom because it has only one electron in its outer orbital so that the helium ion problem can be solved using the Schrodinger equation approach. The Schrodinger equation of the polar part of the helium ion can be solved by the associated legendary polynomial function, . The polar function expresses the angle formed by the vector of the electron's position relative to the z-axis of the helium ion's nuclear position. And it is produced that the polar function of the hydrogenic atom has the same polar function both in position space and in momentum space .