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Results tagged with homework-and-exercises
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user 183100
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.
1
vote
1
answer
402
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Uncertainty of angular momentum
Is it correct to write for the uncertainty
$$\Delta \vec L=\Delta L_x+\Delta L_y+\Delta L_z$$
meaning $L$ is the angular momentum and $L_x,L_y,L_z$ the components.
I couldn't find an answer in my tex …
- 25
-3
votes
1
answer
776
views
Mean value with delta function [closed]
How do I compute this matrix element $$\langle 1|\delta(\hat x-b)|1\rangle$$ that models a 1-D harmonic oscillator?
I have done the same for the ground state (by seting delta function as the Four …
- 25
1
vote
1
answer
767
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Trapped Particle in spherical shell with $l=1$, Transcendental equation
A particle moves in the potential
$$V(r)=\left\{\begin{aligned}\infty\ ,\ &0\leq r\leq a\ , \ r\geq b\\ 0 \ , \ & a<r<b\end{aligned}\right.$$
with $l=1$. We desire the energy eigenvalues.
The radi …
- 25
0
votes
Accepted
Trapped Particle in spherical shell with $l=1$, Transcendental equation
The last transcendental equation is $$\tan(y-x)=\frac{y-x}{1+xy}$$ setting
$$\xi=y-x=k(b-a)\ \ ,\ \ c=\frac{ba}{(b−a)^2}$$
we get $$\tan\xi=\frac{\xi}{c\xi^2+1}$$ and plotting both sides we can fi …
- 25