“A smooth introduction to the semi-classical problem in Quantum Mechanics”
Wednesday 11 December 2019, h. 15:30 - Room 2BC30 - Enrico Picari (Padova, Dip. Mat.)
Abstract
It is very well-known today that Quantum Mechanics plays a crucial role in describing and understanding nature, at least (but not only) at the smallest scales, i.e. the ones of atoms and subatomic particles. The problem of connecting physical and mathematical features of Classical and Quantum Mechanics dates back to the early days of the theory and although reduction of one to the other is understood heuristically in terms of a limit process in which the Planck constant goes to zero, the mathematical ground of such procedure, known as Semi-classical Analysis, is still an active field of research which includes techniques of apparently distant topics like Harmonic Analysis and Deformations of Poisson Algebras. The aim of this seminar is to introduce the main features of elementary Quantum Mechanics, with a brief historical note, and to give an insight into the state-of-the-art of the semi-classical limit problem.
