Bonus Problem 7

Paul Avery
Fall 2015
Name (PRINT):
Bonus Problem 7
Due Friday, Nov. 13, 2015
For all problems
(1) Put your name clearly in the printout or file
(2) Describe what software you used
(3) Show the program, including a screenshot or printout. Make sure it is readable with large
fonts and good contrast. I can’t grade it if I can’t easily read the screenshot.
1. (5 pts) Write the fully normalized radial wavefunctions for the hydrogen atom (using the
normalization condition discussed in the class notes) for (n,l) = (1,0), (2,1), (3,0), (3,1), (3,2),
(4,0), (4,3).
2. (5 pts) Find the radius (in units of Bohr radius) for the maximum probability density (i.e., the
peak of the distribution) for those radial states using one of the symbolic programs MatLab,
Sage, Sympy, Mathematica, Maple, etc. What do you notice for the radii when l = n – 1?