A+ CATEGORY SCIENTIFIC UNIT

Generalized Hamiltonian dynamics after Dirac and Tulczyjew

Volume 59 / 2003

Fiorella Barone, Renato Grassini 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.

Authors

  • Fiorella BaroneDipartimento Interuniversitario di Matematica
    Università di Bari
    Via E. Orabona 4, 70125 Bari, Italy
    e-mail
  • Renato GrassiniDipartimento di Matematica e Applicazioni R. Caccioppoli
    Università di Napoli Federico II
    Via Cintia, Monte S. Angelo
    80126 Napoli, Italy
    e-mail

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