Quantum formulation of fractional orbital angular momentum

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 15 Aug 2007Embargo end date: 01 Jan 2006 English Publisher:Informa UK LimitedJournal:Journal of Modern Optics, volume 54, pages 1,723-1,738 (issn: 0950-0340, eissn: 1362-3044,

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Authors: Goette, J. B.; Franke-Arnold, S.; Zambrini, R.; Barnett, Stephen M.;

doi: 10.1080/09500340601156827 , 10.48550/arxiv.quant-ph/0611169

arXiv: quant-ph/0611169

handle: 10261/6142

Quantum formulation of fractional orbital angular momentum

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Abstract

The quantum theory of rotation angles (S. M. Barnett and D. T. Pegg, Phys. Rev. A, 41, 3427-3425 (1990)) is generalised 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.

14 pages, 6 figure (figures are of low quality due to jpeg2ps conversion), submitted to J Mod Opt special issue for the Photon 06 conference

Related Organizations

University of Strathclyde
United Kingdom
University of Glasgow
United Kingdom
Spanish National Research Council
Spain

Keywords

Quantum Physics, Orbital Angular Momentum (OAM), Orientation of a phase discontinuity, FOS: Physical sciences, Optics. Light, Quantum Physics (quant-ph), 530, Quantum theory of rotation angles

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