Kentaxel
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Homework Statement
I have a wavefunction ψ(r), I want to know what the probability of obtaining a specific value, say 0, Is upon measuring the z-component of the angular momentum Lz
What do i do?
The Attempt at a Solution
My first thought is to apply the Lz-operator to my function and see if this yields the value I am looking for, and if it does not the probability is simply zero. However when i actually do the calculations i don't even get my original function back, and I'm not sure how to interpret this result. i.e. I expected that i would get somethibg like Lzψ(r)=lψ(r) where l is the eigenvalue of Lz. But maybe this is a faulty reasoning?Edit: Maybe what I'm wondering is really what happens if you try to measure a variable of which my statevector is not an eigenfunction (as seems to be the case) or would such an action actually colapse the function to an eigenfunction of my L operator? In any case What sort of result is to be expected of the corresponding eigenvalue? nothing? 0? Or what?
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