*Due Wednesday December
3. *

*Reading Assignment*: read my notes on the Hydrogen Atom.

1. Verify _{} Argue that this leads
to asymptotic behavior _{}for general values of the energy.

2. _{}is called the *Bohr radius*: it is in fact the radius of the lowest orbit
in Bohr’s model.

*Exercise*: check this.

3. For *n* = 4, what is the energy? What are the possible values of the angular
momentum? What is the total degeneracy (number of possible states at this
energy)?

Work out the expressions for, and then sketch, the possible *n* = 4 radial wave functions. Give a brief
interpretation of each: how would you describe the electron’s motion, and how
does the wave function indicate this?

**Shankar 14.4.6**:
this is a *Density Matrix *problem: I’ll
do Density Matrices on Monday.