We construct an operational formulation of classical mechanics without presupposing previous results from analytical mechanics. In doing so, several concepts will be rediscovered entirely new perspective. start by expressing the basic position and velocity point particles as eigenvalues self-adjoint operators acting on a suitable Hilbert space. The concept Holonomic constraint is shown to equiv...

This paper is almost an exercise in which the Hamiltonian scheme is developed for Polyakov's classical string, by following the usual framework suggested by Dirac and Bergman for the reduction of gauge theories to their essential physical degrees of freedom. The results collected here will be useful in some forthcoming papers, where strings will be studied in the unusual context of Wigner-covar...

We analyse a supersymmetric mechanical model derived from (1+1)-dimensional field theory with Yukawa interaction, assuming that all physical variables take their values in a Grassmann algebra B. Utilizing the symmetries of the model we demonstrate how for a certain class of potentials the equations of motion can be solved completely for any B. In a second approach we suppose that the Grassmann ...