Modified Riemann-Liouville Approach to Field Theory and Particle Physics

Autores

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

DOI:

https://doi.org/10.5540/03.2015.003.01.0209

Palavras-chave:

Fractional Calculus, Fractional Field Theory, Fractional Quantum Mechanics

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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Publicado

2015-08-25

Edição

Seção

Matemática Aplicada à Física