Quantum Mathematics II

This book is the second volume that provides an unique overview of the most recent and relevant contributions in the field of mathematical physics with a focus on the mathematical features of quantum mechanics. It is a collection of review papers together with brand new works related to the activities of the INdAM Intensive Period "INdAM Quantum Meetings (IQM22)", which took place at the Politecnico di Milano in Spring 2022 at Politecnico di Milano. The range of topics covered by the book is wide, going ranging from many-body quantum mechanics to quantum field theory and open quantum systems.

Review of recent breakthroughs on the mathematics of quantum mechanics Updated presentation of open problems in mathematical physics Overview of the most recent contributions in several areas of mathematical physics

Auteur
M. Correggi: Organizer of the INdAM Intensive Period "INdAM Quantum Meetings (IQM22)" at Politecnico di Milano, March-May 2022;

Full Professor in Mathematical Physics since 2020 at Politecnico di Milano;

Coordinator of the Ph.D. program on Mathematical Models and Methods in Engineering at Politecnico di Milano (2022 - 2024);

Ph.D. in Mathematical Physics (SISSA, Trieste, 2004);

18 years of research experience after Ph.D.;

Principal Investigator of a MIUR FIR grant of 1 million EUR;

46 publications in international peer-reviewed journals;

Participant to more than 50 international events;

More than 60 invited talks;

Invited speaker at the XVIII International Congress on Mathematical Physics, Santiago de Chile, Chile;

Invited speaker at the XXI Congresso dell'Unione Matematica Italiana, Pavia, Italia;

Organizer of 14 international events (1 Intensive Period INdAM, 1 Nordita, 1 CMO/BIRS, 3 Schools MCQM & 1 EMS-IAMP School with more than 100 participants).

M. Falconi: Organizer of the INdAM Intensive Period "INdAM Quantum Meetings (IQM22)" at Politecnico di Milano, March-May 2022;

Associate Professor in Mathematical Physics since 2023 at Politecnico di Milano;

Ph.D. in Analysis (Alma Mater Studiorum - Università di Bologna, 2012);

11 years of research experience after Ph.D.;

21 publications in international peer-reviewed journals; Participant to more than 30 international events;

More than 20 invited talks;

Organizer of 2 international events (1 Intensive Period INdAM, 1 Hausdorff Summer School).

Contenu

Chapter 1. Quantum Field Theory.- Chapter 2. Open Quantum Systems.- Chapter 3. Many-Body Quantum Mechanics.