Para Hamiltonian Equations With Poisson Brackets

Öz

Anahtar Kelimeler

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Para Hamiltonian Equations With Poisson Brackets

Öz

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

Anahtar Kelimeler

• para- Kähler manifoldlar, Hamilton sistemler, Poisson manifold, kanonik dönüflüm

Kaynakça

1. 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.
2. N. Nutku, Hamiltonian Formulation of KdV Equation, J. Math. Phys. 25 (1984), pp. 2007-2008.
3. 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.
4. M. Tekkoyun, Ş. Civelek, Note on Complex Hamiltonian Systems, Hadronic Journal, 26 (2003), pp.145-154.
5. M. Tekkoyun, On Para Euler-Lagrange and Para-Hamiltonian equations, Physics Letters A, Vol. 340, 7-11, 2005.
6. M. Tekkoyun, Ş. Civelek, Complex Hamiltonian Equations on Poisson Manifolds, Hadronic Journal Supplement (HJS), Vol.19, No:2, pp. 247-256, 2004.
7. 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.
8. http://scienceworld.wolfram.com/physics/topics/ Mechanics.html