Phase space reduction and Poisson structure

Journal of Mathematical Physics

Volumn 40, Issue 7, 1999, Pages 3431-3438

  Zaalani, Nadhem ^a  

^a INSTITUT DE MATHÉMATIQUES DE JUSSIEU   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033243781     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532897     Document Type: Article

References (13)

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3. S. Sternberg, "Minimal coupling and the symplectic mechanics of a classical particle in the presence of a Yang-Mills field," Proc. Natl. Acad. Sci. USA 74, 5253-5254 (1977).
4. A. Weinstein, "A universal phase space for particules in Yang-Mills fields," Lett. Math. Phys. 2, 417-420 (1978).
5. M. Kummer, "On the construction of reduced phase space of a Hamiltonian system with symmetry," Indiana. Univ. Math. J. 30, 281-291 (1981).
6. R. Montgomery, J. E. Marsden, and T. S. Ratiu, "Gauged Lie Poisson structures," Contemp. Math. 28, 101-114 (1984).
7. R. Abraham and J. E. Marsden, Foundations of Mechanics, 2nd ed. (Addison-Wesley, Reading, MA. 1978).
8. J. M. Souriau, Structure des Systèmes Dynamiques (Dunod, Paris, 1970).
9. V. Guillemin and S. Sternberg, Symplectic Techniques in Physics (Cambridge University Press, New York, 1984).
10. W. Greub, S. Halperin, and R. Vanstone, Connections, Curvatures and Cohomology (Academic, New York, 1973).
11. S. Kobayashi and K. Nomizu, Foundations of Differential Geometry (Wiley, New York, 1963, 1969).
12. J. E. Marsden and A. Weinstein, "Reduction of symplectic manifolds with symmetry," Rep. Math. Phys. 5, 121-130 (1974).
13. C. M. Marle, Symplectic Manifolds, Dynamical Groups and Hamiltonian Mechanics (Reidel, Dortrecht, 1976).