ANALYTICAL MECHANICS WITH EXERCISES

Degree course: 
Corso di First cycle degree in Physics
Academic year when starting the degree: 
2015/2016
Year: 
2
Academic year in which the course will be held: 
2016/2017
Course type: 
Supplementary compulsory subjects
Credits: 
8
Period: 
First Semester
Standard lectures hours: 
64
Detail of lecture’s hours: 
Lesson (64 hours)
Requirements: 

Knowledge of newtonian mechanics of a single particle and systems of particles, calculus for functions of one and several variables, linear algebra.

Final Examination: 
Orale
Assessment: 
Voto Finale

The goal is to provide a detailed knowledge of the foundations of lagrangian and hamiltonian mechanics, to discuss physically relevant applications and to introduce the fundamental principles on integrable and chaotic systems.
We expect that the student ripen quantitative understanding and be able to deal with exercises and insights in this area.

Lagrangian form of the equations of motion. Central forces. Kinematics and dynamics of rigid bodies. Oscillations. Hamiltonian mechanics, canonical transformations. Integrable systems. Hamiltonian chaos. Perturbation theory.

L.D. Landau and E.M. Lifshits, Mechanics; H. Goldstein, C. Poole and J. Safko, Classical Mechanics; J.H. Lowenstein, Essentials of hamiltonian dynamics.

Professors

Borrowers