# Physics H133: Problem Set #10

Here are some hints, suggestions, and comments on the problem set.

## Two-Minute Problems

Remember to give a good explanation, no longer than two sentences.

1. Q11T.6: Remember, there can be several things wrong! Find all that apply!
2. Q11B.1: Follow the rules on the handout on sketching wavefunctions. Make sure to get the number of bumps (or nodes) correct, whether it curves toward or away from the axis at each x, and where the amplitude and wavelength are bigger or smaller.

## Chapter Q11 Problems

• Q11S.1: How many bumps? What about the curvature of psi? And the tails?
• Q11S.3: This is easiest to think about when the barrier is very narrow. Draw the two lowest-energy wave functions in this case.
• Q11S.5: If the electron moves only in radial direction, what is its angular momentum? How many bumps in each case? How should the wavelength vary with r? Tails at r=0? What about the tails beyond the classical turning point in each case -- how will they be similar or different in the three cases?
• Q11S.6: See questions for Q11S.5 above.
• Q11R.1: Just follow the hints in the problem statement.