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Teoreticheskaya i Matematicheskaya Fizika, 2011, Volume 167, Number 3, Pages 484–495
DOI: https://doi.org/10.4213/tmf6656 (Mi tmf6656) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Noncommutative mechanics and exotic Galilean symmetry

L. Martinaab

a INFN, Sezione di Lecce, Lecce, Italy
b Dipartimento di Fisica, Università del Salento, Lecce, Italy
Full-text PDF (424 kB) Citations (6)
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DOI: https://doi.org/10.4213/tmf6656
Abstract: In terms of the Lagrange–Souriau 2-form formalism, we describe a wide set of Hamiltonian dynamical systems with first-order Lagrangians. We consider a wide class of systems derived in different phenomenological contexts. The noncommutativity of the particle position coordinates are a natural consequence. We present various explicit examples.
Keywords: dynamical system, Lagrange–Souriau formalism, Hamiltonian structure.
Received: 23.06.2011
English version:
Theoretical and Mathematical Physics, 2011, Volume 167, Issue 3, Pages 816–825
DOI: https://doi.org/10.1007/s11232-011-0065-3
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: L. Martina, “Noncommutative mechanics and exotic Galilean symmetry”, TMF, 167:3 (2011), 484–495; Theoret. and Math. Phys., 167:3 (2011), 816–825
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf6656
  • https://www.mathnet.ru/eng/tmf/v167/i3/p484
    • This publication is cited in the following 6 articles:
    1. José F. Cariñena, Héctor Figueroa, Partha Guha, STEAM-H: Science, Technology, Engineering, Agriculture, Mathematics & Health, Algebra without Borders – Classical and Constructive Nonassociative Algebraic Structures, 2023, 533  crossref
    2. A. I. Maimistov, “Manifestation of the Gyrotropy of Topological Media in Nonlinear Optical Processes”, Bull. Russ. Acad. Sci. Phys., 85:12 (2021), 1429  crossref
    3. Deriglazov A.A., “Variational Problem For Hamiltonian System on So(K, M) Lie-Poisson Manifold and Dynamics of Semiclassical Spin”, Mod. Phys. Lett. A, 29:10 (2014), 1450048  crossref  mathscinet  zmath  adsnasa  isi  scopus
    4. Othman A.A., De Montigny M., Khanna F.C., “Galilean Covariant Dirac Equation with a Woods Saxon Potential”, Int. J. Mod. Phys. E-Nucl. Phys., 22:12 (2013), 1350092  crossref  adsnasa  isi  scopus
    5. L. Martina, “Dynamics of a noncommutative monopole”, Theoret. and Math. Phys., 172:2 (2012), 1127–1135  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  elib
    6. Martina L., “Dynamics in non-commutative spaces and generalizations”, Int. J. Geom. Methods Mod. Phys., 9:2 (2012), 1260012, 7 pp.  crossref  mathscinet  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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