Introduction to Quantum Mechanics · Problem 4.32

Quantum Mechanics in Three Dimensions — David J. Griffiths

Physics — Quantum Mechanics · spin_eigenvalues

Problem

(a) Find the eigenvalues and eigenspinors of

S_y

. (b) If you measured

S_y

on a particle in the general state

\chi

(Equation 4.139), what values might you get, and what is the probability of each? Check that the probabilities add up to 1. Note:

a

and

b

need not be real! (c) If you measured

S_y^2

, what values might you get, and with what probabilities?