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Hamiltonian formulation of classical fields within Riemann–Liouville fractional derivatives

Sami I Muslih1,2, Dumitru Baleanu3,5 and Eqab Rabei4

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


PACS

03.70.+k Theory of quantized fields

03.65.Ge Solutions of wave equations: bound states

03.65.Pm Relativistic wave equations

03.65.Ca Formalism

02.30.Cj Measure and integration

Subjects

Mathematical physics

Quantum information and quantum mechanics

Particle physics and field theory

Dates

Issue 5 (May 2006)

Received 8 September 2005, accepted for publication 21 November 2005

Published 28 March 2006



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