This question concerns a spin-particle in a magnetic field. The Hamiltonian matrix governing this system is Ĥ = −wŜy = ħ

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This Question Concerns A Spin Particle In A Magnetic Field The Hamiltonian Matrix Governing This System Is H Wsy H 1 (49.58 KiB) Viewed 203 times

This 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.