Physics

MAURO LUCIO PAPINUTTO

GENERAL OBJECTIVES:
The course aims to cover the fundamental aspects of Lagrangian and Hamiltonian mechanics. At the end of the course, students should be able to apply the concepts learned to solve Lagrangian/Hamiltonian mechanics problems.

SPECIFIC OBJECTIVES:
A - Knowledge and understanding
OF 1) Know the basics of Lagrangian mechanics
OF 2) Know the basics of Hamiltonian mechanics
OF 3) Develop the ability to apply mathematical methods to the modeling of physical systems

B – Application capabilities
OF 4) Know how to describe a constrained mechanical system with a finite number of degrees of freedom in terms of Lagrangian variables, determining the Lagrangian function and the Euler-Lagrange equations
OF 5) Know how to describe a constrained mechanical system with a finite number of degrees of freedom in terms of Hamiltonian variables, determining the Hamiltonian function and the Hamilton equations
OF 6) Know how to study the properties of equilibrium, stability, small oscillations and the main symmetries of a system using the techniques of Lagrangian mechanics
OF 7) Know how to solve simple problems involving canonical transformations in Hamiltonian systems

C - Independence of judgment
OF 8) Be able to integrate the knowledge acquired in Lagrangian Mechanics in order to subsequently apply them in different contexts of Theoretical Physics (Quantum Mechanics, Statistical Mechanics, Field Theory, etc...)
OF 9) Be able to integrate the knowledge acquired in Hamiltonian Mechanics in order to subsequently apply them in different contexts of Theoretical Physics (Quantum Mechanics, Statistical Mechanics, Field Theory, etc...)

D – Communication skills

E - Ability to learn
OF 10) Have the ability to consult advanced textbooks in order to independently delve into some topics introduced during the course.