Generalized Hamiltonian Dynamics
1950/01/01 by P. A. M. Dirac · 1 voice · 2,081 citations
Engineering · Mathematics · #Action-angle coordinates #Applied mathematics #Calculus (dental) #Computer science #Control and Stability of Dynamical Systems #Dynamics (music) #Generalized coordinates #Hamiltonian (control theory) #Hamiltonian mechanics #History and Theory of Mathematics #Mathematical analysis #Mathematical optimization #Mathematical physics #Mathematics #Physics #Quantum mechanics #Set (abstract data type)
paper · pdf · doi:10.4153/cjm-1950-012-1
published in Canadian Journal of Mathematics 2, 129-148 (Cambridge University Press)
openalex publication_date 1950/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Abstract
1. Introduction. The equations of dynamics were put into a general form by Lagrange, who expressed them in terms of a set of generalized coordinates and velocities. An alternative general form was later given by Hamilton, in terms of coordinates and momenta. Let us consider the relative merits of the two forms.
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