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Propagation Dynamics of a Light Beam in a Fractional Schrödinger Equation

Propagation Dynamics of a Light Beam in a Fractional Schrödinger Equation

The dynamics of wave packets in the fractional Schrödinger equation is still an open problem. The difficulty stems from the fact that the fractional Laplacian derivative is essentially a nonlocal operator. We investigate analytically and numerically the propagation of optical beams in the fractional Schrödinger equation with a harmonic potential. …