Quantum Mechanics Solution Manual 

© Leon van Dommelen 

4.3.2.2 Solution hydbb
Question:
Use the generic expression
with and from the spherical harmonics table to find the ground state wave function . Note: the Laguerre polynomial and for any , is just its th derivative.
Answer:
You get, substituting 1, 0, 0:
where 0! = 1! = 1, is the first derivative of with respect to , which is 1, and 1 according to the table. So you get
as in the previous question.