- #1
port31
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Lets say I have a spin-1/2 particle that is about to enter a non-constant B field.
the spin 1/2 particle has a state vector of
[itex] |\psi>= \frac{|+z>}{\sqrt{2}} + \frac{|-z>}{\sqrt{2}}[/itex]
What if the B field was also in a superposition like
[itex] |\psi>= \frac{ \sqrt{2}|+B>}{\sqrt{3}}+\frac{|-B>}{\sqrt{3}} [/itex]
where B is some non constant magnetic field.
How would I figure out what is the probability of the B field being up or down?
Would it also depend on how the electron interacts with it.
Maybe we should change our particle to a neutron so the Lorentz force won't dominate.
the spin 1/2 particle has a state vector of
[itex] |\psi>= \frac{|+z>}{\sqrt{2}} + \frac{|-z>}{\sqrt{2}}[/itex]
What if the B field was also in a superposition like
[itex] |\psi>= \frac{ \sqrt{2}|+B>}{\sqrt{3}}+\frac{|-B>}{\sqrt{3}} [/itex]
where B is some non constant magnetic field.
How would I figure out what is the probability of the B field being up or down?
Would it also depend on how the electron interacts with it.
Maybe we should change our particle to a neutron so the Lorentz force won't dominate.