Modul:   MAT675  PDE and Mathematical Physics

Toeplitz operators and the large spin limit

Talk by Dr. Alix Deleporte

Speaker invited by: Prof. Dr. Benjamin Schlein

Date: 27.09.18  Time: 15.00 - 16.00  Room: Y27H46

The large spin limit is commonly seen as a semiclassical limit. The Berezin-Toeplitz quantization gives a mathematical background to this interpretation. In this talk, I will present this quantization, which is also useful when dealing with problems from Weyl quantization. I will present recent results about the spectrum of Toeplitz operators in the semiclassical limit, in smooth as in analytic regularity, and their applications to the low-temperature properties of frustrated spin systems.