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Suppose that the z-component of spin for a different electron is measured just before t = 0 and is found to be +h / 2

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Suppose that the z-component of spin for a different electron is measured just before t = 0 and is found to be +h / 2 (same as with the first electron). A uniform magnetic eld with magnitude Bo is turned on in the x-direction at t = 0 (different than with the rst electron). 8. Express the state vector for this electron as a function of time in the form a(t) I+) + (t)|-) (in the 52 basis). Show your work. (Hint: First determine a(t = 0) and B (t = 0) , then perform an appropriate change of basis to determine the time-dependence before changing back to the 52 basis.) 9. Is the electron described by the state vector in question 8 in a stationary state? Explain. 10. Based on your work in this homework, can an electron be in a stationary state but not in an energy eigenstate? Can an electron be in an energy eigenstate but not in a stationary state? Explain

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