Advanced Quantum Mechanics Schwabl · Problem 6.6

The Coulomb Potential

Physics — Quantum Mechanics · dirac-algebra-commutators

Problem

Show that equation (6.2.14

'

)

[\gamma^\mu, \tau] = \Delta\omega^{\mu\nu}\gamma_\nu

is satisfied by

\tau = \frac{1}{8}\Delta\omega^{\mu\nu}(\gamma_\mu\gamma_\nu - \gamma_\nu\gamma_\mu)\,.