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Quantum formulation of fractional orbital angular momentum

AuthorsGötte, Jörg B.; Franke-Arnold, Sonja; Zambrini, Roberta ; Barnett, Stephen M.
KeywordsQuantum Physics
Orbital Angular Momentum (OAM)
Quantum theory of rotation angles
Orientation of a phase discontinuity
Issue Date15-Aug-2007
PublisherTaylor & Francis
CitationJournal of Modern Optics 54, 1723-1738 (2007)
AbstractThe quantum theory of rotation angles [S.M. Barnett and D.T. Pegg, Phys. Rev. A 41 3427 (1990)] is generalized to non-integer values of the orbital angular momentum. This requires the introduction of an additional parameter, the orientation of a phase discontinuity associated with fractional values of the orbital angular momentum. We apply our formalism to the propagation of light modes with fractional orbital angular momentum in the paraxial and non-paraxial regime.
Description16 pages, 6 figures.-- ArXiv pre-print available at: http://arxiv.org/abs/quant-ph/0611169.
Submitted to J. Mod. Opt. special issue for the Photon 06 conference.
Publisher version (URL)http://dx.doi.org/10.1080/09500340601156827
Appears in Collections:(IFISC) Artículos
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