Fedosov Quantization of Lagrange-Finsler and Hamilton-Cartan Spaces and Einstein Gravity Lifts on (Co) Tangent Bundles

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dc.creatorAnastasiei, Mihai
dc.creatorVacaru, Sergiu I.
dc.date2007-10-16
dc.date2008-11-15
dc.date.accessioned2026-07-07T12:28:31Z
dc.date.available2026-07-07T12:28:31Z
dc.descriptionWe provide a method of converting Lagrange and Finsler spaces and their Legendre transforms to Hamilton and Cartan spaces into almost Kaehler structures on tangent and cotangent bundles. In particular cases, the Hamilton spaces contain nonholonomic lifts of (pseudo) Riemannian / Einstein metrics on effective phase spaces. This allows us to define the corresponding Fedosov operators and develop deformation quantization schemes for nonlinear mechanical and gravity models on Lagrange- and Hamilton-Fedosov manifolds.
dc.descriptionlatex2e, 11pt, 35 pages, v3, accepted to J. Math. Phys. (2009)
dc.identifierhttps://arxiv.org/abs/0710.3079
dc.identifierhttp://arxiv.org/abs/0710.3079
dc.identifierJ.Math.Phys.50:013510,2009
dc.identifierdoi:10.1063/1.3043786
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/215563
dc.subjectMathematical Physics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Physics
dc.subject83C99; 53D55; 53B40; 53B35
dc.titleFedosov Quantization of Lagrange-Finsler and Hamilton-Cartan Spaces and Einstein Gravity Lifts on (Co) Tangent Bundles
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