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- Thread starter Bobs
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In summary, there is a conversation about a problem involving a quantum system evolving under different magnetic fields. The initial state of the system is given and the problem involves finding the probability of the system being in a certain state at a certain time. There is some confusion about the correct way to approach the problem and different answers are being proposed. The correct probability is still being determined. f

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- #2

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Hello. I haven't gone through all of the details of your calculations. But, I don't see where you have taken into account the evolution of the system between ##t = 0## and ##t = T##. It appears to me that you are assuming that the system is in state ##\chi_+^{(x)}## at time ##t = T##.

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- #4

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Your final result for the probability appears to be a complex number. But probabilities are real numbers. Also, shouldn't the answer depend on the magnetic field strength B?

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The systaem will not be in state ##\chi_+^{(x)}## atDo you see any mistakes at the final answer? And yes, I'm assuming that the system in state at time ##t=T##. Staying tuned for your sincerely reply!

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I found the probability as ##\dfrac{B^2}{2}## is that correct?

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That answer can't possibly be correct. Probabilities are unitless.I found the probability as ##\dfrac{B^2}{2}## is that correct?

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- #9

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What steps did you follow to arrive at that answer?

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- #11

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No. The argument of the exponential should be unitless.

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