Mathematical Physics Sector

This page is obsolete. The former Sector of Mathematical Physics is now part of the Mathematics Area.

SISSA — International School for Advanced Studies Phonebook Webmail Library catalogue

Via Bonomea 265 — 34136 Trieste — Italy 45.679538°N, 13.774999°E

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.

The course will continue after X-mas as "reading course" on specific topics to be determined; the purpose of this second part, mostly of seminarial character, serves the purpose to deepen the study of themes that may lead to research topics.