A. Yu. Morozov, “Hamiltonian formalism in the presence of higher derivatives”, TMF, 157:2 (2008), 208–216; Theoret. and Math. Phys., 157:2 (2008), 1542

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Teoreticheskaya i Matematicheskaya Fizika, 2008, Volume 157, Number 2, Pages 208–216
DOI: https://doi.org/10.4213/tmf6275 (Mi tmf6275)

This article is cited in 11 scientific papers (total in 11 papers)

Hamiltonian formalism in the presence of higher derivatives

A. Yu. Morozov

Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center)

Full-text PDF (426 kB) Citations (11)

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DOI: https://doi.org/10.4213/tmf6275

Abstract: We briefly review basic formulas of the Hamiltonian formalism in classical mechanics in the case where the Lagrangian contains

N

$N$ time derivatives of

n

$n$ coordinate variables. For nonlocal models,

N = \infty

$N=\infty$ .

Keywords: higher-derivative theory, Hamiltonian mechanics, reparameterization invariance.

Received: 04.02.2008

English version:
Theoretical and Mathematical Physics, 2008, Volume 157, Issue 2, Pages 1542–1549
DOI: https://doi.org/10.1007/s11232-008-0128-2

Bibliographic databases:

Language: Russian

Citation: A. Yu. Morozov, “Hamiltonian formalism in the presence of higher derivatives”, TMF, 157:2 (2008), 208–216; Theoret. and Math. Phys., 157:2 (2008), 1542–1549

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/tmf6275

https://doi.org/10.4213/tmf6275

https://www.mathnet.ru/eng/tmf/v157/i2/p208

This publication is cited in the following 11 articles:

Abentin S., Ruiz F.R., “Yang-Mills Model For Centrally Extended 2D Gravity”, Phys. Rev. D, 105:2 (2022), 024054
Ihor Lubashevsky, Natalie Plavinska, Understanding Complex Systems, Physics of the Human Temporality, 2021, 419
I. Danilenko, “Modified Hamilton formalism for fields”, Theoret. and Math. Phys., 176:2 (2013), 1067–1086
Mukherjee P. Paul B., “Gauge Invariances of Higher Derivative Maxwell–Chern–Simons Field Theory: a New Hamiltonian Approach”, Phys. Rev. D, 85:4 (2012), 045028
Ganguly O., “Realisation of a Lorentz Algebra in Lorentz Violating Theory”, Eur. Phys. J. C, 72:11 (2012), 2209
Ganguly O., Gangopadhyay D., Majumdar P., “A Discussion on Lorentz Preserving Scalar Fields in Lorentz Violating Theory”, International Conference on Modern Perspectives of Cosmology and Gravitation (Cosgrav12), Journal of Physics Conference Series, 405, eds. Pal S., Basu B., IOP Publishing Ltd, 2012, 012015
Banerjee R., Mukherjee P., Paul B., “Gauge symmetry and W-algebra in higher derivative systems”, Journal of High Energy Physics, 2011, no. 8, 085
Kazinski P.O., Shipulya M.A., “Asymptotics of physical solutions to the Lorentz-Dirac equation for planar motion in constant electromagnetic fields”, Phys Rev E, 83:6, Part 2 (2011), 066606
Gegelia J., Scherer S., “Ostrogradsky's Hamilton formalism and quantum corrections”, J. Phys. A, 43:34 (2010), 345406, 9 pp.
Mironov A., Mironov S., Morozov A., Morozov A., “Resolving puzzles of massive gravity with and without violation of Lorentz symmetry”, Classical Quantum Gravity, 27:12 (2010), 125005, 48 pp.
P. I. Dunin-Barkovskii, A. V. Sleptsov, “Geometric Hamiltonian formalism for reparameterization-invariant theories with higher derivatives”, Theoret. and Math. Phys., 158:1 (2009), 61–81

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	816
Full-text PDF :	376
References:	114
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