Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-09-29
Annals Phys. 311 (2004) 191-203
Physics
High Energy Physics
High Energy Physics - Theory
Latex, 13 pages, 3 figures
Scientific paper
10.1016/j.aop.2003.11.007
Employing Maxwell's equations as the field theory of the photon, quantum mechanical operators for spin, chirality, helicity, velocity, momentum, energy and position are derived. The photon ``Zitterbewegung'' along helical paths is explored. The resulting non-commutative geometry of photon position and the quantum version of the Pythagorean theorem is discussed. The distance between two photons in a polarized beam of given helicity is shown to have a discrete spectrum. Such a spectrum should become manifest in measurements of two photon coincidence counts. The proposed experiment is briefly described.
Castellani Gastone
Fabiano Nicola
Sivasubramanian Sivaramakrishnan
Srivastava Yogendra N.
Swain Jitendriya
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