Learning outcomes of the course unit
Aim of this course is to teach the Classical Mechanics as a basis for the study of courses such as Statistical Mechanics and Quantum Chemistry.
The General Physics 1° and 2° and Laboratory of Physics are fundamental courses to learn the Classical Mechanics.
Course contents summary
Generalized coordinates and degrees of freedom. The principle of the minimum action and the Lagrange function. Lagrange’s equations. The principle of the galilean relativity. Uniformity of space and time. Lagrange’s function of a free particle and of a system of free particles. Lagrange’s function of an isolated system. Lagrange’s function of a no isolated system. Uniformity of time and conservation of the mechanical energy. Homogeneity of space and conservation of the linear momentum. Isotropy of space and conservation of angular momentum. Homogeneity of the potential energy and the virial theorem. Applications: right motions, oscillations, central field, rotational motions.Hamilton’s equations. Poisson’s brackets. Principle of Maupertuis. Canonical transformations. Liouville theorem. Hamilton-Jacobi’s equations. Adiabatic invariants. From the Hamilton-Jacobi equation to the Schrödinger equation.
L. Landau, E. Lifchitz : 'Meccanica', Boringhieri editore.
Teaching is based on seminars taken by the students on subjects suggested by the teacher. The teacher chairs the subsequent discussion between all the students of the course.
The student takes only the oral examination. Students can take examination by agreement with the teacher.