Quantization of Classical Fields With Fractional Derivatives

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Abstract

The classical fields with fractional derivatives are investigated by using the Lagrangian formulation. The path integral formulation for Dirac field with fractional derivatives of order 2/3 and a non-relativistic particle interacting with an external field are obtained.

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Muslih, Sami I.; Baleanu, Dumitru, "Quantization of classical fields with fractional derivatives", Nuovo Cimento Della Societa Italiana Di Fisica B-Basic Topics In Physics, Vol.120, No.5, pp.507-512, (2005).

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120

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5

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507

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512
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