Projective Transformations and the Hamiltonian


In a previous paper I have defined the notions of time, the Hamiltonian and the Lagrangian for a given time measure in terms of a Pfaffian Xidxi of class 2n+l in the 2n+1 variables of the manifold of states and time, representing the action of a dynamical system in an infinitesimal displacement. Adopting the the same point of view, I here derive invariant expressions for the kinetic and the potential energies of the system by restricting the admitted transformations to the projective subgroup of the general analytic transformations.

Subject Discipline

Mathematical Sciences

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