The hydrogen atom wavefunctions are mathematically precise but difficult to visualize. This video presents a few visualizations as produced by commons.wikimedia.org/wiki/Use.... 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 ru-vid.com?list=...)
13 май 2013