T.B.A.
Niels Benedikter
Università degli Studi di Milano
Abstract: T.B.A.
The half-wave maps equation in one space dimension
Patrick Gérard
Université Paris-Saclay
Abstract: The half wave maps equation in one space dimension is a continuum limit of the classical Haldane—Shastry spin chain. We prove global wellposedness for rational data, and long time soliton resolution for a dense subclass. The main tools are a Lax pair structure and an explicit formula derived from it.
This is a joint work with Enno Lenzmann (Basel).
Von Neumann algebras and a Bekenstein-type bound in QFTA
Roberto Longo
Università di Roma Tor Vergata
Abstract: After a brief introduction to operator algebras, I will present my recent entropy/energy ratio local bound in Quantum Field Theory. This bound is model-independent and rigorous; it follows solely from first principles in the framework of translation covariant, local Quantum Field Theory on the Minkowski spacetime.
T.B.A.
Pascal Naidon,
RIKEN - Nishina Centre
Abstract: T.B.A.
T.B.A.
Costanza Rojas-Molina,
CY Cergy Paris Université
Abstract: T.B.A
How to express the Uncertainty Principle of Quantum Mechanics?
Jos Uffink
University of Minnesota
Abstract: This talk will start with a brief review of the early history of the expression of Werner Heisenberg’s famous (1927) Uncertainty Principle for position (Q) and momentum (P) in Quantum Mechanics. In his 1927 paper, Heisenberg only gave a qualitative formulation of the Uncertainty Principle, but within a few months, the physical community settled on a mathematical expression of this principle in the inequality ∆Q∆P ≥ ħ/2, first presented by E.H. Kennard (1927) where the ∆’s are defined as standard deviations. This is still the most common and well-known version of an uncertainty relation today.
Nevertheless, it will be shown in this talk that Kennard’s inequality, is not strong enough to provide a foundation for most , if not all, of the common examples used in textbooks as illustrations of the Uncertainty Principle. I will argue, therefore, that conceptually stronger inequalities are needed for the purpose. I will review several approaches to obtain such inequalities: the Landau & Pollak inequalities (1961); the entropic uncertainty inequality (Bialynicki-Birula & Mycielski,1975) and a statistico-geometric approach to the uncertainty relation by (Hilgevoord & Uffink,1991), and discuss their strengths and weaknesses vis-a-vis the common textbook examples.