Abstract
There are two basic elements of Hamiltonian dynamics. Firstly, one has two dimensional phase space on which the Poisson bracket structure obeying the Jacobi identity is defined. Secondly, one has the Hamiltonian form for the equations of motion, according which the evolution in time of a dynamical system is determined by a single function, the Hamiltonian. The basic canonical structure is carried by a single canonical pair of variables.
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References
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Yamaleev, R. (1998). New Dynamical Equations for Many Particle System on the Basis of Multicomplex Algebra. In: Dietrich, V., Habetha, K., Jank, G. (eds) Clifford Algebras and Their Application in Mathematical Physics. Fundamental Theories of Physics, vol 94. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5036-1_33
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DOI: https://doi.org/10.1007/978-94-011-5036-1_33
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