55846 - Advanced Mechanics I/S

Learning outcomes

Learning of fundamental subjects of Physics admitting a rigorous treatment. A deeper understanding of mathemetical thecniques by their correct and suitable applications.

 

Course contents

 Elements of Thermodynamics. Non-equilibrium Statistical Mechanics: The Lorentz gas and the linear transport equation. Boltzmann transport equation. The H-Theorem. The Maxwell distribution. Equilibrium Statistical Mechanics: The perfect gas thermodynamics. The Gibbs canonical measures. The Ising model. The mean field model for the
permanent magnet. Ergodic theory: Dynamical systems. Ergodic Theorem in the mean. Ergodic, mixing and Lebesgue systems.
K-systems. Continued fraction. Entropy of the dynamical systems. Quantum Mechanics: Experimental results and fundamental principles. The state of the system. Physical quantities. Representations and unitary transformations. The Schroedinger equation. Armonic oscillator. Semiclassical Mechanics. The infinite well. Metastable states. The theory of the bands.

 

 

Readings/Bibliography

At the end of the course, the notes  will be given to the students.
No other book is necessary.

Teaching methods

Frontal lessons.

Assessment methods

Oral exam about  two subjects, one them choised by the student.

Teaching tools

At the end of the course, the notes  will be given to the students.

Office hours

See the website of Vincenzo Grecchi