CODE  107033 

ACADEMIC YEAR  2021/2022 
CREDITS 

SCIENTIFIC DISCIPLINARY SECTOR  MAT/07 
TEACHING LOCATION 

SEMESTER  2° Semester 
TEACHING MATERIALS  AULAWEB 
During these lectures, the student is introduced to the Lagrangian and Hamiltonian formulation of the classical mechanics.
Furthermore, the lectures contains also some elements of the theory of stability for dynamical systems, variational principles and HamiltonJacobi equation.
The principal aim of the course is to give to the student the knoweledge of Lagrangian an Hamiltonian mechanics.
Furthermore, the student is beleived to acquire the ability of resolving typical probelms of classical mechanics by means of the theoretical instruments furnished by the Lagrangian and Hamiltonian mechanics.
At the end of the learing path the student will be able to:
 describe the foundations of the Lagrangian and Hamiltonian formulation of classical mechanics
 describe the dynamics of classical systems by means of the EulerLagrange equation
 find the equilibrium configurations of Lagrangian systems
 analyze the stability of the equilibrium configurations of these systems
 formulate the equation of motion in the case of Hamiltonian mechanics
 know and use the canonical transforamtions
 know some advanced techniques to solve some motion equations like those furnished by the HamiltonJacobi equation
 characterize the studied equation of motion by means of some variational principles
The course are organized in lectures given by the teachers where the theoretical part it will be presented and where its application to the resulutions of some exercises will be discussed.
Introduction and some basic concepts
Analytical mechanics of holonomic systems
Introduction to stability of dynamical systems
Hamiltonian mechanics
Variational principles
The notes of the course will be made available within aul@web.
Further deeper suggested readings:
1) H. Goldstein, C. Poole, J. Safko, “Classical Mechanics”, 3rd edn. AddisonWesley, San Francisco, (2002).
2) V. I. Arnold “Metodi Matematici della Meccanica Classica” Editori Riuniti University Press, (2010).
Office hours: By appointment.
NICOLA PINAMONTI (President)
PIERRE OLIVIER MARTINETTI
MARCO BENINI (President Substitute)
All class schedules are posted on the EasyAcademy portal.
The exam is usually formed by a written and by an oral part.
The written exams verifies the ability of the student to solve some exercises by means of the tecniques studied during the lectures.
The oral part is about the teoretical arguments presented during the lectures.
Date  Time  Location  Type  Notes 

08/06/2022  09:00  GENOVA  Scritto per Fisica con accettazione online  
12/07/2022  09:00  GENOVA  Scritto per Fisica con accettazione online  
07/09/2022  09:00  GENOVA  Scritto per Fisica con accettazione online 