Griffiths QM 4.15 Solution: Proving Radial Wavefunction and finding expectation values for l=n-1

Описание: In this video I will solve problem 4.15 as it appears in the 3rd edition of griffiths introduction to quantum mechanics.
the problem states:
a) Use the recursion formula to confirm that when l=n-1 the radial wave function takes the form .... and determine the normalization constant by direct integration.
b) find the expectation values for r and r^2 for states of the form psi of n n-1 m.
c) Find the uncertainty in r

Useful videos:

Solving the radial equation:
   • Hydrogen Atom Part 4: Solving the Radial E...  
Solving the integral:
   • The Integral You HAVE TO KNOW to MASTER Qu...  

Full playlists:
Quantum Mechanics Course:
   • Non Relativistic QM  
More Griffiths QM (3rd ed) Solutions:
   • Solutions to Griffiths Intro to Quantum Me...  


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My name is Nick Heumann, I am a recently graduated physicist. I love to teach physics, so I decided to give YouTube a try. English is not my first language, but I hope that you can understand me well enough regardless.
▬ Contents of this video ▬▬▬▬▬▬▬▬▬▬
00:00 Introducing the Problem
05:20 a) Finding the Radial wave function
10:10 a) Finding the normalization constant
17:50 b) Finding the expectation values of r and r^2
27:12 c) Finding the uncertainty in r
31:50 c) Analyzing the result and graphing
39:00 Please consider supporting my patreon!