Abstract
Using the framework of Nambu's generalised mechanics, we obtain a new description of constrained Hamiltonian dynamics, involving the introduction of another degree of freedom in phase space, and the necessity of defining the action integral on a world sheet. We also discuss the problem of quantising Nambu mechanics.
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Nambu, Y.: Generalized Hamiltonian dynamics, Phys. Rev. D 7 (1973), 2405.
Bayen, F. and Flato, M.: Remarks concerning Nambu's generalized mechanics, Phys. Rev. D 11 (1975), 3409.
Mukunda, N. and Sudarshan, E. C. G.: Relation between Nambu and Hamiltonian mechanics, Phys. Rev. D 13 (1976), 2846.
Hirayama, M.: Realization of Nambu mechanics: A particle interacting with SU(2) monopole, Phys. Rev. D 16 (1977), 530; Chatterjee, R.: Dynamical symmetries and Nambu mechanics, Lett. Math. Phys. 36 (1996), 117; Chatterjee, R. and Takhtajan, L.: Aspects of classical and quantum Nambu mechanics, hepth/ 9507125; Codriansky, S., Navarro, R. and Pedroza, M.: The Liouville condition and Nambu mechanics, J. Phys. A 29 (1996), 1037.
Takhtajan, L.: On foundation of the generalized Nambu mechanics, Comm. Math. Phys. 160 (1994), 295.
Schafer, R. D.: An Introduction to Nonassociative Algebras, Academic Press, New York, 1966.
Lassig, C. C. and Joshi, G. C.: Magnetic charge in a nonassociative field theory, University of Melbourne preprint UM-P-96/24, RCHEP-96/3 (1996), hep-th/9604201 (Phys. Lett. in press).
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LASSIG, C.C., JOSHI, G.C. Constrained Systems Described by Nambu Mechanics. Letters in Mathematical Physics 41, 59–63 (1997). https://doi.org/10.1023/A:1007371029677
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DOI: https://doi.org/10.1023/A:1007371029677