Advanced Quantum Mechanics Schwabl · Problem 8.5

The Foldy–Wouthuysen Transformation and Relativistic Corrections

Physics — Quantum Mechanics · klein-gordon-electromagnetic-field

Problem

A charged particle is moving in a homogeneous electromagnetic field

\mathbf{B} = (0,0,B)

and

\mathbf{E} = (E_0, 0, 0)

. Choose the gauge

\mathbf{A} = (0, Bx, 0)

and, taking as your starting point the Klein--Gordon equation, determine the energy levels.