Dirac brackets in geometric dynamics

 Access to full text

 Full (PDF)

1. [1] R. Abraham and J. Marsden, Foundations of mechanics, Benjamin, NewYork, Amsterdam, 1967. Zbl0158.42901
2. [2] P.G. Bergmann and J. Goldberg, Dirac bracket transformations in phase space, Phys. Rev., vol. 98, 1955, p.531-538. Zbl0065.22803MR74314
3. [3] P.A.M. Dirac, Generalized Hamiltonian dynamics, Canad. J. Math., vol. 2, 1950, p. 129-148. Zbl0036.14104MR43724
4. [4] P.A.M. Dirac, Lectures on quantum mechanics, Belfer Graduate School of Science, Yeshiva University, New York, 1964. Zbl0141.44603
5. [5] W. Kundt, Canonical quantization of gauge invariant field theories, Springer Tracts in Modern Physics, vol. 40, 1966, p. 107-168. 
6. [6] H.P. Künzle, Degenerate Lagrangian systems, Ann. Inst. Henri Poincaré, vol. 11, 1969, p. 339-414. Zbl0193.24901MR278586
7. [7] S. Lange, Introduction to differentiable manifolds, Interscience, New York, London, 1962. Zbl0103.15101MR155257
8. [8] S. Shanmugadhasan, Canonical formalism for degenerate Lagrangians, J. Math. Phys., vol. 14, 1973, p. 677-687. Zbl0282.70012
9. [9] J.-M. Souriau, Structure des systèmes dynamiques, Dunod, Paris, 1970. Zbl0186.58001MR260238
10. [10] J. Śniatycki, Geometric theory of constraints, Proceedings of « Journées relativistes 1970 » in Caen, p. 119-125. 
11. [11] J. Śniatycki, Lagrangian systems, canonical systems and Legendre transformation, Proceedings of 13th Biennial Seminar of Canadian Mathematical Congress in Halifax, 1971, vol. 2, p. 125-143. Zbl0273.58003MR371202
12. [12] J. Śniatycki and W.M. Tulczyjew, Ann. Inst. Henri Poincaré, vol. 15, 1971, p. 177-187. Zbl0231.70013MR297309

1. Stephan De Bièvre, Amine M. El Gradechi, Quantum mechanics and coherent states on the anti-de Sitter spacetime and their Poincaré contraction
2. M. C. Muñoz Lecanda, N. Roman Roy, Lagrangian theory for presymplectic systems