Abstract
We consider the Hamilton formulation as well as the Hamiltonian flows on a symplectic (phase) space. These symplectic spaces are derivable from the Lie group of symmetries of the physical system considered. In Part 2 of this work, we then obtain the Hamiltonian formalism in the Hilbert spaces of square integrable functions on the symplectic spaces so obtained.
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Beneduci, R., Brooke, J., Curran, R. et al. Classical Mechanics in Hilbert Space, Part 1. Int J Theor Phys 50, 3682–3696 (2011). https://doi.org/10.1007/s10773-011-0797-8
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DOI: https://doi.org/10.1007/s10773-011-0797-8