Canonical Formulation of Fractional Kinetics

Abe, Sumiyoshi

doi:10.1007/978-3-642-03325-4_3

Sumiyoshi Abe^3,4

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Abstract

A canonical formalism is developed for a fractional diffusion equation, introducing an auxiliary field. The equation is recast in the form of the canonical equation of motion with respect to the Hamiltonian and the Dirac bracket. The generator of a dilatation transformation is constructed, and then the scale invariance and its violation are discussed.

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Authors and Affiliations

Department of Physical Engineering, Mie University, Mie, 514–8507, Japan
Sumiyoshi Abe
Institut Supérieur des Matériaux et Mécaniques Avancés, 44 F. A. Bartholdi, 72000, Le Mans, France
Sumiyoshi Abe

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Sumiyoshi Abe
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Editors and Affiliations

Space Affairs (UNOOSA), United Nations Office for Outer, Wagramer Str. 5, Wien, 1400, Austria
Hans J. Haubold
Dept. Mathematics & Statistics, McGill University, Sherbrooke St. W. 805, Montreal, H3A 2K6, Canada
A.M. Mathai

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Abe, S. (2010). Canonical Formulation of Fractional Kinetics. In: Haubold, H., Mathai, A. (eds) Proceedings of the Third UN/ESA/NASA Workshop on the International Heliophysical Year 2007 and Basic Space Science. Astrophysics and Space Science Proceedings. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03325-4_3

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DOI: https://doi.org/10.1007/978-3-642-03325-4_3
Published: 25 September 2009
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-03388-9
Online ISBN: 978-3-642-03325-4
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)

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