Advanced Quantum Mechanics Schwabl · Problem 5.3

Lorentz Transformations and Covariance of the Dirac Equation

Physics — Quantum Mechanics · dirac-equation-homogeneous-magnetic-field

Problem

Particles in a homogeneous magnetic field. Determine the energy levels that result from the Dirac equation for a (relativistic) particle of mass

m

and charge

e

in a homogeneous magnetic field

\mathbf{B}

. Use the gauge

A^0 = A^1 = A^3 = 0

A^2 = Bx