Generalized Hamiltonian Dynamics

1950/01/01 by P. A. M. Dirac · 1 voice · 46 citations
Mathematics · Engineering · #History and Theory of Mathematics #Control and Stability of Dynamical Systems

paper · pdf · doi:10.4153/cjm-1950-012-1

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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Discussions

• Currently, I am reading section 3 of a 1950 lecture/paper ( PDF ) by Dirac, about general hamiltonians and dynamics in the formalism. He defines $$H= \mathfrak{H(q,p)},\tag{7}$$ weakly (as in only hol [stackexchange, 1 points]

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