**Probability Distribution of time dependant Sx operator**
I have a time dependant wave function, which is described as:
Lamda(t) = 1/sqrt(2) * (exp (iuBt / 2) * ket (up) + exp (-iuBt/2) * ket (down) )
Where ket (up) and ket (down) are the eigenstates of Sx (the spin operator in the x-direction).
I need to find the probability of measuring either up or down as a function of time - I thought this could be achieved by squaring lambda t, but I unable to do this. Could anyone give guidance?
My attempt so far has been to write Ket up & down as 2x1 column vectors, add them together and using the definition of Cos and Sin, I was able to write it as (2cos(uBt/2), 2isin(uBt/2)) - however, this is impossible to square as it is a 2x1 matrix...
I feel like this attempt might not be necessarily on the correct tracks, although mathematically it is sound.
Thanks
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Last edited by BertTomas; Nov 26th 2016 at 08:25 PM.
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