A quantum object whose state is given by is sent through a Stern-Gerlach device with the magnetic field oriented in the y-direction. What is the probability that this object will emerge from the + side of this device?

Question

Mathematics

Ellis Cherry

14 January, 23:04

A quantum object whose state is given by is sent through a Stern-Gerlach device with the magnetic field oriented in the y-direction. What is the probability that this object will emerge from the + side of this device?

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Reina · Answer 1

The probability that the object will emerge from the + side of this device is 1/2

Step-by-step explanation:

Orienting the magnetic field in a Stern-Gerlach device in some direction (y - direction) perpendicular to the direction of motion of the atoms in the beam, the atoms will emerge in two possible beams, corresponding to ± (1/2) h. The positive sign is usually referred to as spin up in the direction, the negative sign as spin down in the explanation, the separation has always been in the y direction. There can be some other cases where magnetic field may be orientated in x-direction or z-direction.