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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc59-0-3, author = {Fiorella Barone and Renato Grassini}, title = {Generalized Hamiltonian dynamics after Dirac and Tulczyjew}, journal = {Banach Center Publications}, volume = {60}, year = {2003}, pages = {77-97}, zbl = {1042.70014}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc59-0-3} }
Fiorella Barone; Renato Grassini. Generalized Hamiltonian dynamics after Dirac and Tulczyjew. Banach Center Publications, Tome 60 (2003) pp. 77-97. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc59-0-3/