Modified Riemann-Liouville Approach to Field Theory and Particle Physics

J. Weberszpil, Cresus F. L. Godinho, J.A. Helayël-Neto

Resumo


In this contribution we present our recent results where we have applied a modified form of Riemann-Liouville fractional derivative to build up a generalized fractional D’Alembertian and by means of a transformation of variables to light-cone coordinates, an explicit analytical solution was obtained. We have also set up the coarse-grained formulation of a fractional Schr¨odinger equation that incorporates a higher (spatial) derivative term which accounts for relativistic effects up to the lowest order in momentum.


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Fractional Calculus, Fractional Field Theory, Fractional Quantum Mechanics

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DOI: https://doi.org/10.5540/03.2015.003.01.0209

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