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Results tagged with homework-and-exercises
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user 57663
Applies to questions of primarily educational value - not only questions that arise from actual homework assignments, but any question where it is preferable to guide the asker to the answer rather than giving it away outright. Please READ THE GUIDANCE IN META before asking homework-like questions.
0
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2
answers
520
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How to analyse this mass-spring system
I'm trying to analyze this mass-spring system -- i.e. write down the differential equation governing it.
As you can see, there is a block of mass $m_1$ attached to a wall by an ideal spring of spri …
- 663
5
votes
1
answer
2k
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Directional derivatives in the multivariable Taylor expansion of the translation operator
Let $T_\epsilon=e^{i \mathbf{\epsilon} P/ \hbar}$ an operator. Show that $T_\epsilon\Psi(\mathbf r)=\Psi(\mathbf r + \mathbf \epsilon)$.
Where $P=-i\hbar \nabla$.
Here's what I've gotten: $$\be …
- 663
1
vote
1
answer
9k
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$c/a$ ratio for an ideal hexagonal close-packed (HCP) structure [closed]
Show that the $c/a$ ratio for an ideal hexagonal close-packed (HCP) structure is $\left(\frac{8}{3}\right)^\frac{1}{2} = 1.633$.
I believe $a$ is the length of $a_1$ and $a_2$.
I figured that to be …
- 663