Advanced Quantum Mechanics Schwabl · Problem 6.13

The Coulomb Potential

Physics — Quantum Mechanics · free-dirac-equation-boost

Problem

From the solution of the field-free Dirac equation in the rest frame, determine the four-spinors ψ±(x)\psi^\pm(x) of a particle moving with the velocity v\mathbf{v}. Do this by applying a Lorentz transformation (into a coordinate system moving with the velocity −v-\mathbf{v}) to the solutions in the rest frame.

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