Results 21 to 30 of about 10,350 (137)

Symplectic connections and Fedosov's quantization on supermanifolds

, 2011
A (biased and incomplete) review of the status of the theory of symplectic connections on supermanifolds is presented. Also, some comments regarding Fedosov's technique of quantization are made.Comment: Submitted to J. of Phys.
Batalin I, Bering K, Bieliavsky P, Bordemann M, Bordemann M, Boyer C P, Carmeli C, Chernoff P R, Dirac P M A, Dito G, Dito G, Esrafilian E, Fedosov B V, Flato M, Flato M, Flato M, José A Vallejo, Kontsevich M, Kontsevich M, Kontsevich M, Kostant B, Kostant B, Koszul J L, Krýsl S, L van Hove, Leites D A, Salgado G, Sardanashvily G, Tosiek J, Tuynman G, Vallejo J A, Varadarajan V S, Vassilevich D V, Weinstein A, Weyl H, Yu Manin   +35 more
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Fedosov Quantization of Lagrange-Finsler and Hamilton-Cartan Spaces and Einstein Gravity Lifts on (Co) Tangent Bundles

, 2008
We 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
Atanasiu Gh., Bejancu A., Fedosov B., Fedosov B., Mihai Anastasiei, Miron R., Miron R., Misner C., Sergiu I. Vacaru, Thiemann T., Vacaru S., Vacaru S., Vacaru S., Vrǎnceanu G., Vrǎnceanu G., Vrǎnceanu G.   +15 more
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Contact 4d Chern-Simons theory: generalities

Journal of High Energy Physics
We refine and generalize the results of [1], where evidence in favor of applying the non-Abelian localization method to handle the 4d Chern-Simons theory path integral formulation was presented.
David M. Schmidtt
doaj   +1 more source

Quantization of Contact Manifolds and Thermodynamics

, 2007
The physical variables of classical thermodynamics occur in conjugate pairs such as pressure/volume, entropy/temperature, chemical potential/particle number.
Arnold, Arnold, Blair, Buchdahl, Connes, Connes, Courant, Gilmore, Lieb, Roulstone, S.G. Rajeev, Thurston, W Gibbs, Weinstein, Witten   +14 more
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Lagrange structure and quantization [PDF]

, 2005
A path-integral quantization method is proposed for dynamical systems whose clas- sical equations of motion do not necessarily follow from the action principle.
P. Kazinski, S. Lyakhovich, A. Sharapov
semanticscholar   +1 more source

On the geometry of quantum constrained systems

, 2008
The use of geometric methods has proved useful in the hamiltonian description of classical constrained systems. In this note we provide the first steps toward the description of the geometry of quantum constrained systems.
Alejandro Corichi, Ashtekar A, Ashtekar A, Dirac P A M, Dittrich B, Giulini D, Henneaux M, Isham C J, Kempf A, Kuchar K Kunstatter G Vincent D E Williams J G, Marolf D, Rovelli C, Thiemann T   +12 more
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Dynamics as Shadow of Phase Space Geometry [PDF]

, 1996
Starting with the generally well accepted opinion that quantizing an arbitrary Hamiltonian system involves picking out some additional structure on the classical phase space (the {\sl shadow} of quantum mechanics in the classical theory), we describe ...
Klauder, J. R., Maraner, P.
core   +2 more sources

The geometry of real reducible polarizations in quantum mechanics

, 2016
The formulation of Geometric Quantization contains several axioms and assumptions. We show that for real polarizations we can generalize the standard geometric quantization procedure by introducing an arbitrary connection on the polarization bundle.
Prieto, Carlos Tejero, Vitolo, Raffaele
core   +1 more source

Quantum Magnetic Algebra and Magnetic Curvature

, 2003
The symplectic geometry of the phase space associated with a charged particle is determined by the addition of the Faraday 2-form to the standard structure on the Euclidean phase space.
Anderson R F V, Anderson R F V, Bayen F, Berezin F A, Berry M V, Bieliavsky P, Bieliavsky P, Cartan É, Dodonov V V, Dyson F J, Fedosov B, Fock V A, Folland G B, Gracia-Bondia J M, Grossmann A, Hormander L, Karasev M V, Karasev M V, Karasev M V, Karasev M V Osborn T A M A Vasiliev A M Semikhatov V N Zaikin, Kontsevich M, Loos O, M V Karasev, Marinov M S, Maslov V P, Maslov V P, Müller M, Omori H, Rawnsley J, Rieffel M A, Royer A, Schutz B, Stratonovich R L, Stratonovich R L, T A Osborn, Valatin J G, Varilly J C, Weinstein A, Weyl H   +38 more
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Deformation Quantization and Reduction [PDF]

, 2007
This note is an overview of the Poisson sigma model (PSM) and its applications in deformation quantization. Reduction of coisotropic and pre-Poisson submanifolds, their appearance as branes of the PSM, quantization in terms of L-infinity and A-infinity ...
Cattaneo, Alberto S.
core   +3 more sources