Quantum Formulation of Fractional Orbital Angular Momentum

Details Quantum Formulation of Fractional Orbital Angular Momentum Quantum Formulation of Fractional Orbital Angular Momentum

2006-11-15

arxiv.org/abs/quant-ph/0611169v1

Physics

Quantum Physics

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

Scientific paper

10.1080/09500340601156827

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.

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