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24-27 Jun 2024 Metz (France)
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Program
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‹ Thursday, June 27, 2024 |
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09:00
10:00
11:00
12:00
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›9:00 (1h)
M. Falconi: Scaling limits in quantum models of particle-field interaction
In these lectures I will review a series of recent results on the interaction between quantum particles and fields, in different scaling regimes (all somewhat related to Bohr's correspondence principle). From a mathematical perspective, infinite dimensional semiclassical analysis lies at the backbone of our results; we will review its main developments and connect them with the study of systems of quantum particles in interaction with a semiclassical field, as well as with the equations of classical electrodynamics. › Amphi
9:00 - 10:00 (1h)
M. Falconi: Scaling limits in quantum models of particle-field interaction
 Amphi
In these lectures I will review a series of recent results on the interaction between quantum particles and fields, in different scaling regimes (all somewhat related to Bohr's correspondence principle). From a mathematical perspective, infinite dimensional semiclassical analysis lies at the backbone of our results; we will review its main developments and connect them with the study of systems of quantum particles in interaction with a semiclassical field, as well as with the equations of classical electrodynamics.
10:00 - 10:30 (30min)
Coffee break
Coffee Room
›10:30 (1h)
› Amphi
10:30 - 11:30 (1h)
J. Fröhlich: Infinitesimal perturbation theory and quantum-Poisson processes
Amphi
Jürg Fröhlich
›11:30 (1h)
I. M. Sigal: Kohn-Sham equation
The Kohn-Sham equation (KSE) is a key equation of density functional theory (Nobel prize 1998), providing effective description of electronic structure of matter. Nowadays, most of the computations in quantum physics and quantum chemistry involving electrons is done using this equation. The mathematical theory for the KSE is presently under construction. In this lecture, I will describe the KSE, its main properties and the key existing results, outline some approaches and present open problems. › Amphi
11:30 - 12:30 (1h)
I. M. Sigal: Kohn-Sham equation
Amphi
The Kohn-Sham equation (KSE) is a key equation of density functional theory (Nobel prize 1998), providing effective description of electronic structure of matter. Nowadays, most of the computations in quantum physics and quantum chemistry involving electrons is done using this equation. The mathematical theory for the KSE is presently under construction. In this lecture, I will describe the KSE, its main properties and the key existing results, outline some approaches and present open problems.
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