# What are the solutions to this equation called?

## Main Question or Discussion Point

$$\frac{-\hbar}{2m} \frac {\partial^2\psi(r)} {\partial r^2} + \frac {\hbar^2l(l+1)}{2m} \frac {\psi(r)}{r^2}+v(r)\psi(r)= E \psi(r)$$

It's seen in this part of a Susskind video lecture.

He mentions some kind of polynomial or function that I don't recognize for the solutions. He says to look it up and I would love to but I'm unable to make out what he said. Any ideas?

Bystander
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"Spherical Bessel functions." May also have been a mention of Hermite polynomials.

"Spherical Bessel functions." May also have been a mention of Hermite polynomials.
Thanks for the quick reply. Will check those out.

He says something that sounds like "giggenval", but I cannot find any reference to something that sounds like that.

Bystander