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Fedosov Quantization of Fractional Lagrange Spaces

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Abstract

The main goal of this work is to perform a nonholonomic deformation (Fedosov type) quantization of fractional Lagrange–Finsler geometries. The constructions are provided for a fractional almost Kähler model encoding equivalently all data for fractional Euler–Lagrange equations with Caputo fractional derivative.

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Author information

Authors and Affiliations

  1. Department of Mathematics and Computer Sciences, Çankaya University, 06530, Ankara, Turkey

    Dumitru Baleanu

  2. Science Department, University “Al. I. Cuza” Iaşi, 54, Lascar Catargi street, Iaşi, 700107, Romania

    Sergiu I. Vacaru

Authors
  1. Dumitru Baleanu
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  2. Sergiu I. Vacaru
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Corresponding author

Correspondence to Dumitru Baleanu.

Additional information

D. Baleanu is on leave of absence from Institute of Space Sciences, P.O. Box, MG-23, 76900, Magurele-Bucharest, Romania.

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Baleanu, D., Vacaru, S.I. Fedosov Quantization of Fractional Lagrange Spaces. Int J Theor Phys 50, 233–243 (2011). https://doi.org/10.1007/s10773-010-0514-z

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  • DOI: https://doi.org/10.1007/s10773-010-0514-z

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