Mathematics

Topics: one among the following topics (to decide with the participants)

• Semiclassical limit and pseudodifferential operators.
• The mathematics of solid-state physics.
• Scattering theory.
• Self-adjoint extensions and singular interactions.
• Stochastic processes and their relation with Markov semigroups.

Undergrad pre-requisites: a mathematical course on QM.

Main references (graduate texts):  G. Dell'Antonio, Mathematical Aspects of Quantum Mechanics. Volume 1 (2011) andVolume 2 (2013). Available online in the form of lecture notes both in English and in Italian. An enlarged version of the English edition is in preparation.

Exam: exposition and discussion in class of an assigned research paper (or of an assigned textbook chapter)