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Question 5 This question concerns a spin-particle in a magnetic field. The Hamiltonian matrix governing this system is h
Posted: Thu Jun 09, 2022 3:58 pm
by answerhappygod
- Question 5 This Question Concerns A Spin Particle In A Magnetic Field The Hamiltonian Matrix Governing This System Is H 1 (63.21 KiB) Viewed 223 times
Question 5 This
question concerns a spin-particle in a magnetic field. The Hamiltonian matrix governing this system is hw [0 Ĥ=-wSy = 2 0 where 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 | +₂) = √3/2 20 and | | +v> = √/20 are eigenvectors of Ĥ and give their eigenvalues.