Fedosov Quantization of Fractional Lagrange Spaces

被引:15
|
作者
Baleanu, Dumitru [1 ]
Vacaru, Sergiu I. [2 ]
机构
[1] Cankaya Univ, Dept Math & Comp Sci, TR-06530 Ankara, Turkey
[2] Alexandru Ioan Cuza Univ, Dept Sci, Iasi 700107, Romania
关键词
Fractional Finsler geometry; Lagrange space; Almost Kahler space; Deformation quantization; Fractional Fedosov space; DEFORMATION QUANTIZATION; EINSTEIN GRAVITY; FORMULATION; DERIVATIVES; KAHLER; MECHANICS; FINSLER;
D O I
10.1007/s10773-010-0514-z
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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.
引用
收藏
页码:233 / 243
页数:11
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