Mathematical Physics 3

A.Y. 2015/2016
9
Max ECTS
89
Overall hours
SSD
MAT/07
Language
Italian
Learning objectives
An introduction to the theory and mathematics of Quantum Mechanics
and Statistical Physics, both classical and quantum.
Expected learning outcomes
Undefined
Course syllabus and organization

Single session

Responsible
Lesson period
Second semester
Course syllabus
Group and phase speed. Crisis of classical mechanics and beginning of
quantum mechanics

Introduction of Schroedinger equation

Operators in Hilbert spaces: bounded operators, adjoint of an
operator, selfadjoint operators, weak derivative.

Eigenfuncions of the Schroedinger operator.

Regularity of the eigenfunctions of the Schroedinger operator

Examples: free particle, potential well, harmonic oscillator, idrogen
atom.


Axioms of quantum mechanics. Integrals of motion. Indetermination
principle.
MAT/07 - MATHEMATICAL PHYSICS - University credits: 9
Practicals: 44 hours
Lessons: 45 hours