# The Mathematical Methods in Physical Science

The Pauli spin matrices in quantum mechanics are

sigma_x = 0 1 sigma_y = 0 -i sigma_z = 1 0

1 0 i 0 0 -1

a) Show that (sigma_x)^2 = (sigma_y)^2 = (sigma_z)^2 = I (identity of unit matrix)

b) Show that (sigma_x)(sigma_y) - (sigma_y)(sigma_x) = 2i*sigma_z

c) Show that (sigma_x), (sigma_y) and (sigma_z) are Hermitian.

© BrainMass Inc. brainmass.com October 9, 2019, 5:15 pm ad1c9bdddfhttps://brainmass.com/physics/quantum-physics/52450

#### Solution Summary

This Solution contains calculations to aid you in understanding the Solution to this question.

$2.19