Fedosov Quantization of Fractional Lagrange Spaces
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Date
2011
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Springer/plenum Publishers
Open Access Color
BRONZE
Green Open Access
Yes
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
BIP! Indicators
Impulse
Top 10%
Influence
Top 10%
Popularity
Top 10%
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 Kahler model encoding equivalently all data for fractional Euler-Lagrange equations with Caputo fractional derivative.
Description
Vacaru, Sergiu/0000-0001-9187-4878
ORCID
Keywords
Fractional Finsler Geometry, Lagrange Space, Almost Kahler Space, Deformation Quantization, Fractional Fedosov Space, High Energy Physics - Theory, High Energy Physics - Theory (hep-th), 26A33, 46L65, 32Q60, 53C60, 53C99, 70S05, FOS: Physical sciences, Mathematical Physics (math-ph), Mathematical Physics, fractional Fedosov space, Global differential geometry of Hermitian and Kählerian manifolds, Local differential geometry of Finsler spaces and generalizations (areal metrics), fractional Finsler geometry, Kähler manifolds, Fractional partial differential equations, Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics, deformation quantization, Lagrange space, almost Kähler space, Geometry and quantization, symplectic methods
Fields of Science
0103 physical sciences, 0101 mathematics, 01 natural sciences
Citation
Baleanu, D., Vacaru, S.I. (2011). Fedosov quantization of fractional lagrange spaces. International Journal of Theoretical Physics, 50(1), 233-243. http://dx.doi.org/10.1007/s10773-010-0514-z
WoS Q
Q3
Scopus Q
Q2
OpenCitations Citation Count
19
Source
International Journal of Theoretical Physics
Volume
50
Issue
1
Start Page
233
End Page
243
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Citations
CrossRef : 12
Scopus : 22
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Mendeley Readers : 5
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