# 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.

1. 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?
2. 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.
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