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Results tagged with angular-momentum
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user 183100
The conserved quantity arising from a rotational invariance. Combine with rotational-dynamics for the classical mechanics approach and quantum-mechanics for the QM interpretation
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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
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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
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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