Volume 96, Number 6, December 2011
|Number of page(s)||5|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||15 December 2011|
Storming Majorana's Tower with OAM states of light in a plasma
Department of Astronomy, University of Padua - Vicolo dell' Osservatorio 3, I-33122 Padua, Italy, EU
2 Associazione CIVEN - Via delle Industrie 5, Torre Hammon, I-30175 Venezia-Marghera, Italy, EU
3 Swedish Institute of Space Physics, Ångström Laboratory - P. O. Box 537, SE-751 21 Uppsala, Sweden, EU
4 Galilean School of Higher Education, University of Padua - Via Giovanni Prati 19, I-35122 Padua, Italy, EU
Accepted: 12 November 2011
We extend the relationship between mass and spin angular momentum, described by the bosonic spectrum of positive definite mass particles of the Majorana solution to the Dirac equation, to photons that acquire an effective Proca mass through the Anderson-Higgs mechanism (Anderson P. W., Phys. Rev., 130 (1963) 439) when they propagate in a plasma. In an earlier paper (Tamburini F. et al., EPL, 90 (2010) 45001) we showed that if the plasma is structured, it can impart orbital angular momentum (OAM) to the photons that reduces the total Proca photon mass. Here we show, through a generalisation of Majorana's solution, that photons with OAM in a plasma cannot assume negative squared mass states. This means that there exist interesting analogies with Quantum Gravity or General Relativity models involving a modified action of the Lorentz group.
PACS: 42.50.Tx – Optical angular momentum and its quantum aspects / 03.65.-w – Quantum mechanics / 14.70.Bh – Photons
© EPLA, 2011
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