XXXIX Workshop on Geometric Methods in Physics 19.06–25.06.2022
XI School on Geometry and Physics 27.06–1.07.2022

Maciej Przanowski


Canonical photon position operator with commuting components


It is shown that, up to unitary transformation, there exists a uniquely defined canonical photon position operator with commuting components.This operator is unitary equivalent to the one found by Margaret Hawton in 1999. It has a simple geometrical interpretation as defined by a Weitzenboeck connection in tangent bundle or by a flat connection on some trivial vector bundle. However, physical interpretation of such a photon position operator is not clear.







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