Results 11 to 20 of about 171 (111)
Hamiltonian actions of compact type from a Poisson point of view [PDF]
, 2022 This thesis concerns the study of Hamiltonian actions and momentum maps in the Poisson geometric framework introduced by Mikami and Weinstein. More precisely, we study Hamiltonian actions of proper symplectic groupoids, focusing on two topics.
Mol, Maarten
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Geometric Quantization and Foliation Reduction [PDF]
, 2013 A standard question in the study of geometric quantization is whether symplectic reduction interacts nicely with the quantized theory, and in particular whether “quantization commutes with reduction.” Guillemin and Sternberg first proposed ...
Skerritt, Paul Michael
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On Classical and Quantum Objectivity [PDF]
, 2007 Please follow the link below for the most recent version of this paper: http://philsci-archive.pitt.edu/archive ...
Catren, Gabriel, Gabriel Catren
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, 2004 Variational integrators are a class of discretizations for mechanical systems which are derived by discretizing Hamilton's principle of stationary action.
West, Matthew
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The reduced spaces of a symplectic Lie group action [PDF]
, 2006 37 pagesThere exist three main approaches to reduction associated to canonical Lie group actions on a symplectic manifold, namely, foliation reduction, introduced by Cartan, Marsden-Weinstein reduction, and optimal reduction, introduced by the authors ...
Ortega, Juan-Pablo +3 more
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Continuous and discrete Clebsch variational principles [PDF]
, 2009 18.02.14 Kb.
Cotter, CJ, Holm, DD
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Poisson and Symplectic structures, Hamiltonian action, momentum and reduction [PDF]
, 2020 31 pages, 14 references. Other author's papers can be downloaded at http://www.denys-dutykh.com/This manuscript is essentially a collection of lecture notes which were given by the first author at the Summer School Wisla-2019, Poland and written down by ...
Dutykh, Denys, Roubtsov, Vladimir
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Symmetry and Symplectic Reduction [PDF]
, 2021 In the last hundred years, Classical Mechanics has been dwarfed by the development of Relativity and Quantum Mechanics. However, significant mathematical developments have been made to Classical Mechanics in the same time frame and this essay aims to ...
O'Callaghan, Matthew
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Symmetries of Hamiltonian systems on symplectic and Poisson manifolds [PDF]
, 2014 70 pagesThis text presents some basic notions in symplectic geometry, Poisson geometry, Hamiltonian systems, Lie algebras and Lie groups actions on symplectic or Poisson manifolds, momentum maps and their use for the reduction of Hamiltonian systems.
Marle, Charles-Michel
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Induction of Hamiltonian Poisson actions [PDF]
, 2000 We propose a Poisson-Lie analog of the symplectic induction procedure, using an appropriate Poisson generalization of the reduction of symplectic manifolds with symmetry.
Baguis, Pierre, Baguis, P., P. Baguis
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