Lecturer: M. Fabbrichesi , SISSA

In this lesson the professor to study the **Hamilton–Jacobi** theory, specifically he focused in the periodic motion problem, for which he introduces the **action-angle** action-angle variables. Then he solves the **Kepler problem **with the help of **Hamilton–Jacobi** equation and the **action-angle** variables formulation, for solve this problem he has to use the **separation of variables** technique in the **Hamilton–Jacobi** equation. In the second part of the lecture he solves the last year (2010-2011) exam.

# Paraboloid

Lecture 8/9 | Modern Physics: Classical Mechanics (Stanford)This lesson is mainly focused in the study of a particle in a electromagnetic field and explaining the classical **Hall ****effect**. At the end of the lesson the **Poisson bracket** were introduced.

The lesson continues with the study of **Poisson bracket.** The **canonical transformations** are introduced in the second part of the lecture.