Quantization of a New Canonical, Covariant, and Symplectic Hamiltonian Density

David Chester, Xerxes D. Arsiwalla, Louis Kauffman +2

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 Hamilto…