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


Any Hamiltonian System Is Locally Equivalent to a Free Particle

Dr. Gilberto Silva Ortigoza
Facultad de Ciencias Físico Matemáticas – BUAP


Este seminario se llevará a cabo en la

Sala de Conferencias 111B/302
Miércoles 6 de noviembre de 2013
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 locally equivalent to the one-dimensional harmonic oscillator and second that the two-dimensional free particle is locally equivalent to the two-dimensional Kepler problem.