This question concerns a spin-particle in a magnetic field. The Hamiltonian matrix governing this system is Ĥ = −wŜy = ħ
Posted: Thu Jun 09, 2022 3:33 pm
question concerns a spin-particle in a magnetic field. The Hamiltonian matrix governing this system is Ĥ = −wŜy = ħw [0 2 where w is the Larmor frequency. (a) Use the generalized Ehrenfest theorem to obtain an expression for the rate of change of (S) in this system, expressing your answer in terms of w and (S₂). (b) Verify that the orthonormal spinors li ₂0 and y = Q are eigenvectors of Ĥ and give their eigenvalues.
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