28382 - Mathematical Physics 3

Course Unit Page

Academic Year 2018/2019

Learning outcomes

At the end of the lecture, the student knows the basic tecniques for the analytic study of mechanical systems. He also knows how to use them for solving practical and theorical problems coming from physics and engineering.

Course contents

-Lagrangian Mechanics: Hamilton principle; Euler-Lagrange equations; cyclic coordinates; D'Alembert's principle; Noether theorem.
-Hamiltonian formalism: Legendre transform; Hamilton equation; Hamiltom flux; Canonical transformations; Generating functions; Liouville theorem; Integrable systems; Stationary Hamilton-Jacobi's method.

Readings/Bibliography

-V. Arnold: Metodi matematici della meccanica classica (Editori Riuniti)
-D. Graffi: Elementi di meccanica razionale (Patron Editore)
-G. Gallavotti: Meccanica elementare (Boringhieri)

Teaching methods

Classroom lectures and exercises.

Assessment methods

The final exam aims to evaluate the realization of the didactical goals:
-Knowing how to solve practical and theorical problems coming from physics and engineering;
-Owing a high standard of knowledge concerning analytic mechanics.
The final grade is defined through an oral exam concerning the arguments of the lectures.

Office hours

See the website of André Georges Martinez