Generalized Hamiltonian dynamics after Dirac and Tulczyjew
Volume 59 / 2003
Banach Center Publications 59 (2003), 77-97
MSC: 70H45.
DOI: 10.4064/bc59-0-3
Abstract
Dirac's generalized Hamiltonian dynamics is given an accurate geometric formulation as an implicit differential equation and is compared with Tulczyjew's formulation of dynamics. From the comparison it follows that Dirac's equation—unlike Tulczyjew's—fails to give a complete picture of the real laws of classical and relativistic dynamics.