Fractional Schrödinger equation in optics.

نویسنده

  • Stefano Longhi
چکیده

In quantum mechanics, the space-fractional Schrödinger equation provides a natural extension of the standard Schrödinger equation when the Brownian trajectories in Feynman path integrals are replaced by Levy flights. Here an optical realization of the fractional Schrödinger equation, based on transverse light dynamics in aspherical optical cavities, is proposed. As an example, a laser implementation of the fractional quantum harmonic oscillator is presented in which dual Airy beams can be selectively generated under off-axis longitudinal pumping.

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عنوان ژورنال:
  • Optics letters

دوره 40 6  شماره 

صفحات  -

تاریخ انتشار 2015