Variedade riemannianas e imersão do tipo Nash: um ensaio e aplicações

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Physiologie du musicien / par Albert Cler ; vign. de Daumier, Gavarni, Janet-Lange, Valentin

Collection : [Physiologies Aubert]

Poincar-Cartan integral invariant and canonical transformation for singular lagrangians

In this work we develop the canonical formalism for constrained systems with a finite number of degrees of freedom by making use of the PoincarCartan integral invariant method. A set of variables suitable for the reduction to the physical ones can be obtained by means of a canonical transformation. From the invariance of the PoincarCartan integral under canonical transformations we get the form of the equations of motion for the physical variables of the system.

Poincar-Cartan intregral invariant and canonical trasformation for singular Lagrangians: an addendum

The results of a previous work, concerning a method for performing the canonical formalism for constrained systems, are extended when the canonical transformation proposed in that paper is explicitly time dependent.