(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The Hamilton-operator is given as [tex]\hat{H}[/tex] and describes the movement of a free rigid object that has the moments of inertia [tex]I_{i}[/tex]

Under what circumstances is

[tex]<\Psi|\hat{L_{1}}|\Psi> [/tex]

time-independent?

2. Relevant equations

[tex] \hat{H}=\frac{\hat{L_{1}^{2}}}{2I_{1}}+\frac{\hat{L_{2}^{2}}}{2I_{2}}+\frac{\hat{L_{3}^{2}}}{2I_{3}} [/tex]

[tex][\hat{L_{j}},\hat{L_{k}}]=\iota\hbar\epsilon_{jkm}\hat{L_{m}} [/tex]

[tex]<\Psi|\hat{L_{1}}|\Psi> [/tex]

3. The attempt at a solution

If it wasn't in the brac-kets, I would just try [tex]\frac{dL_{1}}{dt}=0[/tex] Also, I thought maybe I could use another picture to have the time-indepence in it automatically, but I think SchrÃ¶dinger must be the right one as there the operators are constant.

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# Hamilton operator with moments of inertia : time - independence

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