Operator for Describing Polarization States of a Photon

Physics – Quantum Physics

Scientific paper

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This version (5 pages) will be published in the European Physical Journal D

Scientific paper

10.1007/s100530050050

Based on the quantized electromagnetic field described by the Riemann-Silberstein complex vector $F$, we construct the eigenvector set of $% F$, which makes up an orthonormal and complete representation. In terms of $% F $ we then introduce a new operator which can describe the relative ratio of the left-handed and right-handed polarization states of a polarized photon .In $F^{\prime}s$ eigenvector basis the operator manifestly exhibits a behaviour which is similar to a phase difference between two orientations of polarization of a light beam in classical optics.

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