Advanced Quantum Mechanics Schwabl · Problem 13.7

Quantization of the Radiation Field

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

Problem

Show for the Klein–Gordon field that: [Pμ,ϕ(x)]=−i∂μϕ(x)[P^\mu, \phi(x)] = -\mathrm{i}\partial^\mu\phi(x) [P,ϕ(x)]=i∇ϕ(x) .[\mathbf{P}, \phi(x)] = \mathrm{i}\boldsymbol{\nabla}\phi(x)\,.

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