Hamiltonian formulation of classical fields within Riemann–Liouville fractional derivatives

doi:10.1088/0031-8949/73/5/003

Hamiltonian formulation of classical fields within Riemann–Liouville fractional derivatives

Sami I Muslih et al 2006 Phys. Scr. 73 436-438 doi: 10.1088/0031-8949/73/5/003

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Sami I Muslih^1,2, Dumitru Baleanu^3,5 and Eqab Rabei⁴
¹ Department of Physics, Al-Azhar University, Gaza, Palestine
² International Center for Theoretical Physics (ICTP), Trieste, Italy
³ Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences, ankaya University 06530, Ankara, Turkey
⁴ Department of Physics, Mutah University, Al-Karak, Jordan
⁵ On leave of absence from Institute of Space Sciences, PO Box, MG-23, R 76900, Magurele-Bucharest, Romania.
E-mail: smuslih@ictp.trieste.it, dumitru@cankaya.edu.tr (,) and eqabrabei@yahoo.com

Abstract. The fractional Hamiltonian formulation and the fractional path integral quantization of fields are analysed. Dirac and Schrödinger fields are investigated in detail.

PACS numbers: 03.65.Pm, 11.10.Ef

Print publication: Issue 5 (May 2006)
Received 8 September 2005, accepted for publication 21 November 2005
Published 28 March 2006

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Hamiltonian formulation of classical fields within Riemann–Liouville fractional derivatives

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