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

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

We generalize Koopman–von Neumann classical mechanics to poly symplectic fields and recover De Donder–Weyl’s theory. Compared with Dirac’s Hamiltonian density, it inspires a new Hamiltonian formulation with a canonical momentum field that is Lorentz-covariant with symplectic geometry. We provide com...

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Bibliographic Details
Main Authors: David Chester, Xerxes D. Arsiwalla, Louis H. Kauffman, Michel Planat, Klee Irwin
Format: Article
Language:English
Published: MDPI AG 2024-03-01
Series:Symmetry
Subjects:
field theory
quantization
Koopman–von Neumann mechanics
De Donder–Weyl theory
Online Access:https://www.mdpi.com/2073-8994/16/3/316

Internet

https://www.mdpi.com/2073-8994/16/3/316

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