## Mathematical Aspects of quantum Mechanics

### Prof. G. F. Dell'Antonio

Number of cycles: 2

First/second semester (starting from mid-november 2012)

During the first five weeks the course will be traditional, on general themes in the mathematics of Quantum Mechanics and in particular of the Schroediger equation and its solutions. This part of the course will touch briefly some of the following material:- Unitary evolution, importance of self-adjointness, Kato's perturbation theory, selfadjoint extensions, singular perturbations.
- Weyl system, Wigner functions, semiclassical limit, elements of pseudodifferential operators.
- Periodic potentials, Bloch-Floquet theory.
- Stocastic processes and the heat equation.
- Elements of scattering theory.