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

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This Question Concerns A Spin Particle In A Magnetic Field The Hamiltonian Matrix Governing This System Is H Wsy 1 (25.36 KiB) Viewed 173 times

This question concerns a spin- particle in a magnetic field. The Hamiltonian matrix governing this system is Ĥ = -wSy --wẫy = – hw| 2 where w is the Larmor frequency. (a) Use the generalized Ehrenfest theorem to obtain an expression for the rate of change of (S₂) in this system, expressing your answer in terms of w and (S₂). (b) Verify that the orthonormal spinors lu) = 0 and ) 20 are eigenvectors of Ĥ and give their eigenvalues.