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Science · Advanced Physics
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3. (30pts) The matrices representing measurements of thex, y, and z components of an electrons spin in the basis of the states spin-up and spin down along z are ,210 1 21 020 0 210 -1 a) Find the matrix representing S.h , the measurement of spin along a direction given by the unit vectoJ b) The Hamiltonian describing an electron in a uniform magnetic field n=-1+-/tFK B- Bn, is eB 1n Solve the time independent Schrödinger Equation for the two eigenvalues Er, and the two corresponding eigenstates and down along n (expressed in the basis of the states spin up and spin down These are the states of spin up along z). c) An electron is initially in the state with spin up along the z axis, y(0) Find |yt)

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