Griffiths Introduction to Elementary Particles · Problem 7.6

Electrodynamics of Quarks and Hadrons — David J. Griffiths

Physics — QFT · dirac-spinors-helicity

Problem

If the

z

axis points along the direction of motion, show that equation (7.46) reduces to

u^{(1)} = \begin{pmatrix} \sqrt{(E+mc^2)/c} \\ 0 \\ \sqrt{(E-mc^2)/c} \\ 0 \end{pmatrix}, \text{ and so on}

Confirm that these are eigenspinors of

S_z

, and find the eigenvalues.