Fractional Schrödinger equation in optics.

  title={Fractional Schr{\"o}dinger equation in optics.},
  author={Stefano Longhi},
  journal={Optics letters},
  volume={40 6},
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… CONTINUE READING