Results 41 to 50 of about 10,350 (137)

"Quantization is a mystery" [PDF]

, 2012
Expository notes which combine a historical survey of the development of quantum physics with a review of selected mathematical topics in quantization theory (addressed to students that are not complete novices in quantum mechanics). After recalling in
Todorov, Ivan
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In Search of Fundamental Discreteness in 2+1 Dimensional Quantum Gravity

, 2009
Inspired by previous work in 2+1 dimensional quantum gravity, which found evidence for a discretization of time in the quantum theory, we reexamine the issue for the case of pure Lorentzian gravity with vanishing cosmological constant and spatially ...
Budd, T. G., Loll, R.
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BRST Structures and Symplectic Geometry on a Class of Supermanifolds

, 1994
By investigating the symplectic geometry and geometric quantization on a class of supermanifolds, we exhibit BRST structures for a certain kind of algebras.
D. P. Jarvis, E. S. Fradkin, J. Sniatychi, K. Wu, M. Flato, P. W. Higgs, R. J. Baxter, S. M. Fei, S. M. Fei, Sergio Albeverio, Shao Ming Fei, V. G. Drinfeld   +11 more
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The "Symplectic Camel Principle" and Semiclassical Mechanics

, 2002
Gromov's nonsqueezing theorem, aka the property of the symplectic camel, leads to a very simple semiclassical quantiuzation scheme by imposing that the only "physically admissible" semiclassical phase space states are those whose symplectic capacity (in ...
, Arnold V I, Blattner R J, Brack M, Dazord P, de Gosson M, de Gosson M, de Gosson M, de Gosson M, de Gosson M, de Gosson M, de Gosson M, de Gosson M, de Gosson M, de Gosson S, de Rham G, Ekeland I, Ekeland I, Frankel T, Gibbs J W, Godbillon C, Goldstein H, Goldstein H, Gromov M, Gutzwiller M C, Hofer H, Keller J B, Kostant B, Leray J, Leray J, Leray J, Libermann P, Maslov V P, Maslov V P, Maurice A de Gosson, Penrose R, Schulman L S, Souriau J-M, Souriau J-M, Van Vleck J H, Viterbo C, Viterbo C, Woodhouse N M J   +42 more
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On Geometry of p-Adic Coherent States and Mutually Unbiased Bases. [PDF]

Entropy (Basel), 2023
Zelenov E.
europepmc   +1 more source

Singularities and symmetries on the crossroads of geometry and physics

(English) In this thesis we study several mathematical objects that are essential to formulate and model physical systems. Applying the tools provided by differential geometry, we develop and analyze different mathematical structures that are used in ...
Pau Mir Garcia
semanticscholar   +1 more source

Geometric Structures Induced by Deformations of the Legendre Transform. [PDF]

Entropy (Basel), 2023
Morales PA, Korbel J, Rosas FE.
europepmc   +1 more source

Current Algebraic Structures over Manifolds: Poisson Algebras, q-Deformations and Quantization

, 1996
Poisson algebraic structures on current manifolds (of maps from a finite dimensional Riemannian manifold into a 2-dimensional manifold) are investigated in terms of symplectic geometry.
Adler, Albeverio, Albeverio, Albeverio, Albeverio, Atiyah, Chaichian, Chaichian, Chang, Chari, Chernoff, Delius, Dubrovin, Dubrovin, Fei, Fei, Flato, Flato, Frenkel, Gell-Mann, Gilmore, Green, Hermann, Jimbo, Kac, Kassel, Ma, Mickelsson, Miller, Pressley, Sergio Albeverio, Shao-Ming Fei, Sniatycki, Torrésani, Treiman, Weisberger, Woodhouse   +36 more
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Geometrical origin of the *-product in the Fedosov formalism

, 2004
The construction of the *-product proposed by Fedosov is implemented in terms of the theory of fibre bundles. The geometrical origin of the Weyl algebra and the Weyl bundle is shown.
Abraham, Agarwal, Agarwal, Amiet, Arnal, Arnold, Arratia, Arratia, Arratia, Arratia, Arratia, Ballesteros, Bayen, Bayen, Bertelson, Bordemann, Bordemann, Cannas de Silva, Cariñena, Cariñena, Carruther, Chari, Chern, Cohen, Connes, Curtis, Dirac, Dito, Dito, Estrada, Fedosov, Fedosov, Fedosov, Figueroa, Fronsdal, Gadella, Gadella, Gadella, Gadella, Gadella, García-Compeán, Gerstenhaber, Gerstenhaber, González, Gracia-Bondía, Gracia-Bondía, Gracia-Bondía, Gracia-Bondía, Gracia-Bondía, Gracia-Bondía, Groenewold, Guillemin, Gutt, Gutt, Gutt, Hillery, J. Tosiek, Krűger, Landsman, Libermann, Lichnerowicz, M. Gadella, M.A. del Olmo, Martín, Moyal, Nakahara, Nieto, Omori, Omori, Plebański, Plebański, Przanowski, Steenrod, Tatarskij, Tosiek, Underhill, Vaisman, van Hove, Varilly, Varilly, Ward, Watson, Weyl, Wigner, Wolf, Woodhouse   +85 more
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How Quantum Mechanics Requires Non-Additive Measures. [PDF]

Entropy (Basel), 2023
Carcassi G, Aidala CA.
europepmc   +1 more source