An apparatus consists of three sections: a Stern-Gerlach magnet, that separates

Question

An apparatus consists of three sections: a Stern-Gerlach magnet, that separates particles by Sx in the horizontal plane a "magic box", that recombines the beams without affecting them in any way, and a second Stern-Gerlach magnet, that separates particles by Sz in the vertical plane. It is possible to insert particle detectors into the beams at various points. These detectors measure the presence of a particle in that beam, but let the particle pass through. A beam of spin 1/2 particles with spin up (Sx=+1/2) enters the apparatus as shown: If no particle detectors are in place, what are the relative intensities of beam 3 (spin up) and 4 (spin down) leaving the apparatus? Do the intensities of beam 1 (spin right) and 2 (spin left) change if detectors are put in the beams at D? With the Detectors at D, what are the relative intensities of beams 3 (spin up) and 4 (spin down) leaving the apparatus?

Explanation / Answer

ABOVE IS WHAT WE KNOW AS "RABI APPARATUS"

A) intensities will be equal and equal to I0/2

B) yes the intensities gets changes

C) since the intensities are equally affected so there occurs no relative change in the INTENSITY.

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