How to commute

Abstract

A simple exposition of the rarely discussed fact that a set of free boson fields describing different, i.e. kinematically different particle types can be quantized with mutual anticommutation relations is given by the explicit construction of the Klein transformations changing anticommutation relations into commutation relations. The q-analog of the presented results is also treated. The analogous situation for two independent free fermion fields with mutual commutation or anticommutation relations is briefly investigated.