While spherical harmonics are the eigenfunctions of the hydrogen atom to describe its state, which are the eigenfunctions for the other 117 chemical elements (helium, etc.)?
Spherical harmonics is just the solutions of the Laplacian with spherical symmetry. It applies to other elements to the extent that the one electron picture is valid, and that is a hairy thing to discuss here.
The way you explain the sequence of solutions made understanding much easier. Congratulations on the quality material you have on your channel.
Glad it was helpful!
Thank you. You made it so easy to understand.
cant belive how easy u made it for me , thank u so much
Most welcome 😊
While spherical harmonics are the eigenfunctions of the hydrogen atom to describe its state, which are the eigenfunctions for the other 117 chemical elements (helium, etc.)?
It should be z=rcosθ from the way you labeled your axes.
thanks! I added an erratum in the video description and point out this typo. Pls check.
Can you give a source for the mathematical derivation of the polar solution?
how about the spherical harmonicals for the other chemical elements in the periodic table (not just is Hydrogen)?
Spherical harmonics is just the solutions of the Laplacian with spherical symmetry. It applies to other elements to the extent that the one electron picture is valid, and that is a hairy thing to discuss here.
The Phi and Theta should be corrected. You wrote them upsidedown
Can you let me know the time stamp?