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.