# Physics H133: Problem Set #5

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.

- Q5T.2: This is an application to matter waves of what we learned in
chapter Q2 about 2-slit interference and diffraction. What should
happen to the interference pattern if we put a detector behind
a slit? What does the slit width determine and how does it
relate to the wavelength? If we double all three numbers, what
should happen to the pattern?
- Q5T.3: Note that theta=60 degrees is given!

## Chapter Q5 Problems

- Q5B.9: See equation (Q5.11).
- Q5S.3: This one already comes with hints. In Eq. (Q5.1), what is the
meaning of the angle theta, really?
- Q5S.6: Write down a third vector with general complex components
(normalization!) and derive conditions for these components from
the given data. Then solve them.
- Q6B.5: If the possible values of x are from -infinity to +infinity,
what is the normalization integral for this wave function?
- Q5S.5: Go back to Eq. (Q5.11).
Try first with a finite number (e.g., 2) components to get the
idea. Remember that taking the complex conjugate twice returns
you to the original number.

Your comments and
suggestions are appreciated.

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**Physics H133: Hints for Problem Set 5.**

Last modified: 12:01 pm, April 08, 2012.

furnstahl.1@osu.edu