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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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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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