Unit ANALYTICAL MECHANICS
- Course
- Physics
- Study-unit Code
- GP005455
- Location
- PERUGIA
- Curriculum
- In all curricula
- Teacher
- Gianluca Grignani
- Teachers
-
- Gianluca Grignani
- Hours
- 42 ore - Gianluca Grignani
- CFU
- 6
- Course Regulation
- Coorte 2021
- Offered
- 2022/23
- Learning activities
- Affine/integrativa
- Area
- Attività formative affini o integrative
- Academic discipline
- FIS/02
- Type of study-unit
- Obbligatorio (Required)
- Type of learning activities
- Attività formativa monodisciplinare
- Language of instruction
- Italian
- Contents
- Elements of Rational Mechanics. Lagrangian Mechanics: constraints and generalized coordinates, Hamilton's principle, Lagrangian equations, Lie's and Noether's symmetries, two-body problem. Hamiltonian Mechanics: Hamiltonian equations, Poisson brackets, canonical transformations, Hamilton-Jacobi theory.
- Reference texts
- H. GOLDSTEIN, C.P. POOLE, J.L. SAFKO, Classical Mechanics, III ed., Addison Wesley, 2001;
V. I. ARNOLD, Mathematical Methods of Classical Mechanics, II ed., Springer-Verlag, 1989.
G. GRIOLI, Lezioni di Meccanica Razionale, Libreria Cortina, 2002. - Educational objectives
- A basic knowledge of Analytical Mechanics
- Prerequisites
- Basic knowledge of euclidean geometry, calculus, algebra and classical mechanics
- Teaching methods
- Lectures and office hours.
- Learning verification modality
- Oral exam that includes solving exercises. Oral exam is extremely important. It allows the student to demonstrate her/his comprehension of the syllabus and to dialogue with the professor by using the appropriate scientific terminology.
- Extended program
- Elements of Rational Mechanics. Lagrangian Mechanics: constraints and generalized coordinates, Hamilton's principle, Lagrangian equations, Lie's and Noether's symmetries, two-body problem. Hamiltonian Mechanics: Hamiltonian equations, Poisson brackets, canonical transformations, Hamilton-Jacobi theory.