Student Friendly Introduction to QFT · Problem B4-1

Spinors: Spin ½ Fields

Physics — QFT · nrqm-spin-y-direction-eigenstates

Problem

Do Prob. 15 to prove to yourself that

(i,-1)^T

and

(i,1)^T

are eigenstates of the

y

component of the spin operator, i.e.,

S_2

, and that they can be constructed from linear combinations of the up and down (

z

direction) eigenstates.