The mathematical construct for spin 1/2 is an operator having the Pauli matrices as components (it represents the 3-vector angular momentum). For a relativistic treatment the Dirac gamma matrices are appropriate.
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Originally Posted by sanctus A drastic answer would be if the two observables commute they don't influence each other, otherwise do Do influence each other, my question is how mcuh do they influence? Is it always total if they don't commute? |
It depends on how much they don't commute!
The commutator of two operators is an operator,it might be very different, or not much different, from zero
How much a measurement influences the state depends on how the measurement is performed. QM formalism only places a minimal influence which would be the case for a so-called ideal measurement of 1st species. This means that the new state is given by applying the projector assoicated with the eigenvalue that was the result of the measurement, to the previous state, and then normalizing.
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Originally Posted by sanctus (while classicaly 100% should be up) |
Hmmm, classically, it wouldn't even be "either up or down"
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Inutil insegnŕ al mus, si piart timp, in plui si infastiděs la bestie.
Hypography Forum PITA...... er, Administrator.
