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A free electron is at rest in a uniform magnetic field B = interaction Hamiltonian is given by: Boi, where B, is a constant. The S.B -= H m At time t=0, the electron is in a state with spin up in the y-direction: (< Sy >= 5). Find the probability that at later time t=T, the electron is in a state with spin down in y-direction, i.e. < Sy >= -

A free electron is at rest in a uniform magnetic field B = interaction Hamiltonian is given by: Boi, where B, is a constant. The S.B -= H m At time t=0, the electron is in a state with spin up in the y-direction: (< Sy >= 5). Find the probability that at later time t=T, the electron is in a state with spin down in y-direction, i.e. < Sy >= -

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A free electron is at rest in a uniform magnetic field B = interaction Hamiltonian is given by: Boi, where Bọ is a constant. The e H m At time t=0, the electron is in a state with spin up in the y-direction: (< S, >= Find the probability that at later time t=T, the electron is in a state with spin down in y-direction, i.e. < Sy >= -
Transcribed Image Text:A free electron is at rest in a uniform magnetic field B = interaction Hamiltonian is given by: Boi, where Bọ is a constant. The e H m At time t=0, the electron is in a state with spin up in the y-direction: (< S, >= Find the probability that at later time t=T, the electron is in a state with spin down in y-direction, i.e. < Sy >= -
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