Spin beams are mixed in an experiment, |+)z _and |+)x with probabilities p = 1/3 and p = 2/3, respectively, are mixed. these beams pass through a stern Gerlach machine with magnetic field B with þolar angle 0 and azimuthal angle o = 0. Then, а. Write p(0) b. Find the probability of measuring +ħ/2 and –ħ/2 ħgSx с. If before entering the Stern Gerlach evolves with H = for a time t, calculate p(t) and (Sx).
Spin beams are mixed in an experiment, |+)z _and |+)x with probabilities p = 1/3 and p = 2/3, respectively, are mixed. these beams pass through a stern Gerlach machine with magnetic field B with þolar angle 0 and azimuthal angle o = 0. Then, а. Write p(0) b. Find the probability of measuring +ħ/2 and –ħ/2 ħgSx с. If before entering the Stern Gerlach evolves with H = for a time t, calculate p(t) and (Sx).
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Transcribed Image Text:Spin beams are mixed in an experiment, +)z and |+)x with
probabilities p = 1/3 and p
these beams pass through a stern Gerlach machine with magnetic field
B with þolar angle 0 and åzimuthal angle o = 0.
2/3, respectively, are mixed. Then,
Write p(0)
а.
b. Find the probability of measuring +h/2 and –h/2
ħgSx
c. If before entering the Stern Gerlach evolves with H =
for a time t, calculate p(t) and (Sx).
2
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