Relativistic equations with fractional and pseudo-differential operators

Details Relativistic equations with fractional and pseudo-differential operators Relativistic equations with fractional and pseudo-differential operators

2011-01-26

arxiv.org/abs/1101.5066v2

Phys.Rev.A83:0621109,2011

Physics

Mathematical Physics

Published version (minor modifications, refs. added), 15 pages, 4 figures

Scientific paper

10.1103/PhysRevA.83.062109

In this paper we use different techniques from the fractional and
pseudo-operators calculus to solve partial differential equations involving
operators with non integer exponents. We apply the method to equations
resembling generalizations of the heat equations and discuss the possibility of
extending the procedure to the relativistic Schr\"odinger and Dirac equations.

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