This question concerns a spin- particle in a magnetic field. The Hamiltonian matrix governing this system is Ĥ = -wSy --
Posted: Thu Jun 09, 2022 3:43 pm
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.