題組內容

15. (20 pts) Consider the spin state of a proton. Recall that the spin operators are5f5894ee026c1.jpgwhere i =5f58950a9249d.jpg. Suppose that a static external magnetic field is applied along the y direction, so that the hamiltonian is 5f58952a54d34.jpg where B is the magnetic field strength, and5f58954b1ef6d.jpg is a real constant. Denote the spin up state a and the spin down stateβ as5f58957369a39.jpg

(c) (2 pts) Suppose that at t = O the proton is at the state 5f5895a1a066f.jpgCalculate the normalization constant N.