Generalized Hamiltonian dynamics

1958/08/19 by P. A. M. Dirac · 17 citations
Engineering · Mathematics · Physics and Astronomy · #Applied mathematics #Classical mechanics #Control and Stability of Dynamical Systems #Covariant Hamiltonian field theory #Formalism (music) #Hamiltonian (control theory) #Hamiltonian formalism #Hamiltonian mechanics #Hamiltonian system #Lagrangian #Mathematical optimization #Mathematical physics #Mathematics #Numerical methods for differential equations #Phase space #Physics #Quantum chaos and dynamical systems #Quantum mechanics

paper · doi:10.1098/rspa.1958.0141

openalex publication_date 1958/08/19 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Abstract The author’s procedure for passing from the Lagrangian to the Hamiltonian when the momenta are not independent functions of the velocities is put into a simpler and more practical form, the main results being obtained by a direct solution of the equations provided by the consistency requirements. It is shown how, under certain conditions, one can eliminate some of the degrees of freedom and so make a substantial simplification in the Hamiltonian formalism.

Citations

• Constraints in Covariant Field Theories

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