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- W4376988421 abstract "We generalize Koopman-von Neumann classical mechanics to poly-symplectic fields and recover De Donder-Weyl theory. Comparing with Dirac's Hamiltonian density inspires a new Hamiltonian formulation with a canonical momentum field that is Lorentz covariant with symplectic geometry. We provide commutation relations for the classical and quantum fields that generalize the Koopman-von Neumann and Heisenberg algebras. The classical algebra requires four fields that generalize space-time, energy-momentum, frequency-wavenumber, and the Fourier conjugate of energy-momentum. We clarify how 1st and 2nd quantization can be found by simply mapping between operators in classical and quantum commutator algebras." @default.
- W4376988421 created "2023-05-18" @default.
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- W4376988421 date "2023-05-04" @default.
- W4376988421 modified "2023-09-28" @default.
- W4376988421 title "Quantization of a New Canonical, Covariant, and Symplectic Hamiltonian Density" @default.
- W4376988421 doi "https://doi.org/10.48550/arxiv.2305.08864" @default.
- W4376988421 hasPublicationYear "2023" @default.
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