Hydrogen atom wavefunctions
Channel: Brant Carlson
Date: 2013-05-15

The hydrogen atom wavefunctions are mathematically precise but difficult to visualize.  This video presents a few visualizations as produced by http://commons.wikimedia.org/wiki/User:Geek3/hydrogen.  NOTE: there is an error on slide 3.  In the normalization constant, the (2/na) term should be raised to the third power.  Also, the 3rd edition of Griffiths uses a different normalization convention for the associated Laguerre polynomials than the 2nd edition (used when preparing these lectures).  As such, readers of the 3rd edition will want to replace the [(n+l)!]^3 with just (n+l)!.

(This lecture is part of a series for a course based on Griffiths' Introduction to Quantum Mechanics.  The Full playlist is at http://www.youtube.com/playlist?list=PL65jGfVh1ilueHVVsuCxNXoxrLI3OZAPI.)