Adv. Physics Homework Help Forum: Jr/Sr & Grad Level Q's

berkeman
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The Advanced Physics Homework Help forum is for upper-division (college junior or senior) and graduate-level questions. Other schoolwork physics questions should go in the Intro Physics forum.

Thanks!
 
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If your thread mysteriously disappears without a trace from this forum, you probably didn't post it in the right place, so your thread was moved to the Introductory Physics or Engineering forum.

Advanced physics does not mean, among other things:
  • "I think this problem is really hard."
  • "I'm taking a college physics course."
  • "We're covering electromagnetism now."
  • "We're covering relativity now."
  • "We're covering quantum mechanics now."
If you have to plug numbers into a formula to get the final answer, that's usually a good sign the question doesn't belong here.

Questions that do belong in this forum are from upper-division or graduate physics courses — classes physics majors (in the US) take in their junior year and later.
 
Thread 'Need help understanding this figure on energy levels'
This figure is from "Introduction to Quantum Mechanics" by Griffiths (3rd edition). It is available to download. It is from page 142. I am hoping the usual people on this site will give me a hand understanding what is going on in the figure. After the equation (4.50) it says "It is customary to introduce the principal quantum number, ##n##, which simply orders the allowed energies, starting with 1 for the ground state. (see the figure)" I still don't understand the figure :( Here is...
Thread 'Understanding how to "tack on" the time wiggle factor'
The last problem I posted on QM made it into advanced homework help, that is why I am putting it here. I am sorry for any hassle imposed on the moderators by myself. Part (a) is quite easy. We get $$\sigma_1 = 2\lambda, \mathbf{v}_1 = \begin{pmatrix} 0 \\ 0 \\ 1 \end{pmatrix} \sigma_2 = \lambda, \mathbf{v}_2 = \begin{pmatrix} 1/\sqrt{2} \\ 1/\sqrt{2} \\ 0 \end{pmatrix} \sigma_3 = -\lambda, \mathbf{v}_3 = \begin{pmatrix} 1/\sqrt{2} \\ -1/\sqrt{2} \\ 0 \end{pmatrix} $$ There are two ways...

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