July 12, 2023 - 15:00 Aula Seminari III piano, third floor Politecnico di Milano Campus Leonardo, Ed. 14 (Nave)
SPEAKER: Giuseppe De Nittis (Pontificia Universidad Católica de Chile)
About the notion of eigenstates in C*-algebras and some application to quantum mechanics
This talk is concerned with the notion of eigenstates of an operator in an abstract C*-algebra. After reviewing some basic and structural results, I will explore the possibility of reinterpreting certain typical concepts of quantum mechanics (dynamical equilibrium states, ground states, gapped states, Fermi surfaces) in terms of (algebraic) eigenstates.
This is also part of the “PhD Lectures” activity of the project “Departments of Excellence 2023-2027”. This activity consists of seminars open to Ph.D. students, followed by meetings with the speaker to discuss and go into detail on the topics presented at the talk.