# 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
Homework Helper
Gold Member
"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
Homework Helper
Gold Member
"eigen value(s)"

"eigen value(s)"
Nah, he says that all the time, and there's definitely no 'you' sound at the end. It's like "vaul" or "vaula".

HallsofIvy
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