Lets say I have a spin-1/2 particle that is about to enter a non-constant B field.(adsbygoogle = window.adsbygoogle || []).push({});

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 wont dominate.

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# Electron in a B field.

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