# Intro to Quantum Mechanics Problem: An electron under the influence of a uniform magnetic field By...

###### Question:

Intro to Quantum Mechanics Problem:

An electron under the influence of a uniform magnetic field By in the y-direction has its spin initially (at 0) pointing in the positive x-direction. That is, it is in an eigenstate of S with eigenvalue +,S h. The Hamiltonian H--μ . B-γ By Sy consists of the interaction of the magnetic dipole moment μ due to spin and the magnetic field B. Show that the probability of finding the electron with its spin pointing in the positive z-direction at a later time t is P(Ss+ h)-,S [1 + sin ( γ By t )].

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