Hydrodynamic covariant symplectic structure from bilinear Hamiltonian functions
General Relativity and Quantum Cosmology
2007-05-23 v1
Abstract
Starting from generic bilinear Hamiltonians, constructed by covariant vector, bivector or tensor fields, it is possible to derive a general symplectic structure which leads to holonomic and anholonomic formulations of Hamilton equations of motion directly related to a hydrodynamic picture. This feature is gauge free and it seems a deep link common to all interactions, electromagnetism and gravity included. This scheme could lead toward a full canonical quantization.
Keywords
Cite
@article{arxiv.gr-qc/0507087,
title = {Hydrodynamic covariant symplectic structure from bilinear Hamiltonian functions},
author = {S. Capozziello and S. De Martino and S. I. Tzenov},
journal= {arXiv preprint arXiv:gr-qc/0507087},
year = {2007}
}
Comments
9 pages, no figure. to appear in Progress in Physics