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Para Hamiltonian Equations With Poisson Brackets

Year 2006, Volume: 1 Issue: 6, 197 - 204, 01.06.2006

Abstract

References

  • M. Crampin, On the Differential Geometry of Euler-Lagrange Equations, and the inverse problem of Lagrangian Dynamics, J. Phys. A: Math. Gen. 14 (1981), pp. 2567-2575.
  • N. Nutku, Hamiltonian Formulation of KdV Equation, J. Math. Phys. 25 (1984), pp. 2007-2008.
  • M. De Leon, P.R. Rodrigues, Methods of Differential Geometry in Analytical Mechanics, North-Hol. Math. St.,152, Elsevier Sc. Pub. Com. Inc., Amsterdam, 1989.
  • M. Tekkoyun, Ş. Civelek, Note on Complex Hamiltonian Systems, Hadronic Journal, 26 (2003), pp.145-154.
  • M. Tekkoyun, On Para Euler-Lagrange and Para-Hamiltonian equations, Physics Letters A, Vol. 340, 7-11, 2005.
  • M. Tekkoyun, Ş. Civelek, Complex Hamiltonian Equations on Poisson Manifolds, Hadronic Journal Supplement (HJS), Vol.19, No:2, pp. 247-256, 2004.
  • V. Cruceanu, P.M. Gadea, J. M. Masqué, Para-Hermitian and Para- Kähler Manifolds, Supported by the commission of the European Communities’ Action for Cooperation in Sciences and Technology with Central Eastern European Countries n. ERB3510PL920841.
  • http://scienceworld.wolfram.com/physics/topics/ Mechanics.html

Para Hamiltonian Equations With Poisson Brackets

Year 2006, Volume: 1 Issue: 6, 197 - 204, 01.06.2006

Abstract

Bu çalıflmada, para-Kähler manifoldların çatısı dikkate alınarak, Poisson parantezli Hamiltondenklemlerinin para-kompleks benzeri tanıtıldı. Aynı zamanda; bir kanonik dönüflümün Poisson yapılı parakompleks Hamilton denklemleri koruduğu gösterildi. Sonuçta ise; para-mekanik sistemler üzerindekigeometrik ve mekanik sonuçlar tartıflıldı

References

  • M. Crampin, On the Differential Geometry of Euler-Lagrange Equations, and the inverse problem of Lagrangian Dynamics, J. Phys. A: Math. Gen. 14 (1981), pp. 2567-2575.
  • N. Nutku, Hamiltonian Formulation of KdV Equation, J. Math. Phys. 25 (1984), pp. 2007-2008.
  • M. De Leon, P.R. Rodrigues, Methods of Differential Geometry in Analytical Mechanics, North-Hol. Math. St.,152, Elsevier Sc. Pub. Com. Inc., Amsterdam, 1989.
  • M. Tekkoyun, Ş. Civelek, Note on Complex Hamiltonian Systems, Hadronic Journal, 26 (2003), pp.145-154.
  • M. Tekkoyun, On Para Euler-Lagrange and Para-Hamiltonian equations, Physics Letters A, Vol. 340, 7-11, 2005.
  • M. Tekkoyun, Ş. Civelek, Complex Hamiltonian Equations on Poisson Manifolds, Hadronic Journal Supplement (HJS), Vol.19, No:2, pp. 247-256, 2004.
  • V. Cruceanu, P.M. Gadea, J. M. Masqué, Para-Hermitian and Para- Kähler Manifolds, Supported by the commission of the European Communities’ Action for Cooperation in Sciences and Technology with Central Eastern European Countries n. ERB3510PL920841.
  • http://scienceworld.wolfram.com/physics/topics/ Mechanics.html
There are 8 citations in total.

Details

Primary Language Turkish
Journal Section Articles
Authors

Mehmet Akkoyun This is me

Publication Date June 1, 2006
Published in Issue Year 2006 Volume: 1 Issue: 6

Cite

APA Akkoyun, M. . (2006). Para Hamiltonian Equations With Poisson Brackets. Cankaya University Journal of Arts and Sciences, 1(6), 197-204.
AMA Akkoyun M. Para Hamiltonian Equations With Poisson Brackets. Cankaya University Journal of Arts and Sciences. June 2006;1(6):197-204.
Chicago Akkoyun, Mehmet. “Para Hamiltonian Equations With Poisson Brackets”. Cankaya University Journal of Arts and Sciences 1, no. 6 (June 2006): 197-204.
EndNote Akkoyun M (June 1, 2006) Para Hamiltonian Equations With Poisson Brackets. Cankaya University Journal of Arts and Sciences 1 6 197–204.
IEEE M. . Akkoyun, “Para Hamiltonian Equations With Poisson Brackets”, Cankaya University Journal of Arts and Sciences, vol. 1, no. 6, pp. 197–204, 2006.
ISNAD Akkoyun, Mehmet. “Para Hamiltonian Equations With Poisson Brackets”. Cankaya University Journal of Arts and Sciences 1/6 (June 2006), 197-204.
JAMA Akkoyun M. Para Hamiltonian Equations With Poisson Brackets. Cankaya University Journal of Arts and Sciences. 2006;1:197–204.
MLA Akkoyun, Mehmet. “Para Hamiltonian Equations With Poisson Brackets”. Cankaya University Journal of Arts and Sciences, vol. 1, no. 6, 2006, pp. 197-04.
Vancouver Akkoyun M. Para Hamiltonian Equations With Poisson Brackets. Cankaya University Journal of Arts and Sciences. 2006;1(6):197-204.