- Docente: Vincenzo Grecchi
- Credits: 6
- SSD: MAT/07
- Language: Italian
- Teaching Mode: Traditional lectures
- Campus: Bologna
- Corso: Second cycle degree programme (LM) in Mathematics (cod. 8208)
Course contents
Statistical Mechanics: Maxwell distribution and thermodinamics of
the perfect gases. Quantum Mechanics: classic and quantum
observables, the space of the states and self-adjoint operators,
quantization rules. Coninuous unitary groups and generators:
equation of the motion.
Quantization, energy levels and stationary states of the harmonic
oscillator. One-dimensional problems with piecewise-constant
potentials and scattering matrix. Tunnel effect. Reletivistic
Mechanics: Lorentz's transormations, Maxwell's equations.
Readings/Bibliography
The sending of the different parts of the notes will follow the
corresponding lectures.
Assessment methods
Oral exam. A first subject is proposed by the student, and a second
one is a professor choise. We ask a good
knowledge of the mechanical problems treated. A certain
acquaintance with the mathematical thechniques involved is strongly
appreciated.
Office hours
See the website of Vincenzo Grecchi