Advanced Quantum Mechanics Schwabl · Problem 13.19

Quantization of the Radiation Field

Physics — Quantum Mechanics · dirac-field-momentum-commutator

Problem

Show for the Dirac-field that: [Pμ,ψ(x)]=−i∂μψ(x)[P^\mu, \psi(x)] = -\mathrm{i}\partial^\mu\psi(x) [P,ψ(x)]=i∇ψ(x) .[\mathbf{P}, \psi(x)] = \mathrm{i}\boldsymbol{\nabla}\psi(x)\,.

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