El Cuerpo
Académico de Partículas Campos y Relatividad General invita
cordialmente a su próximo seminario

__Equivalent
Hamiltonian Systems: New physics at Lagrangian level__

Dr. Gilberto
Silva Ortigoza

FCFM - BUAP

Este
seminario se llevará a cabo en la

**Sala de Conferencias (111B/302) **

Miércoles 29 de febrero de 2012

12:00 hrs.

Resumen:

In this work we use the Hamilton-Jacobi theory to show that locally all
the hamiltonian systems with *n* degrees of freedom are equivalent. That is, there is a canonical
transformation connecting two arbitrary hamiltonian
systems with the same number of degrees of freedom. This result in particular
implies that *locally all the hamiltonian systems are equivalent to that of a free
particle*. We illustrate our result with two particular examples; first we
show that the one-dimensional free particle is equivalent to the
one-dimensional harmonic oscillator and second that the two-dimensional free
particle is equivalent to the two-dimensional Kepler
problem.

These simple examples show that the *Hamiltonian
formulation, via canonical transformations which are not point transformations,
allows to introduce new physics at Lagrangian level*.