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Optimal Weyl’s law without full regularity

PhD defence, Tuesday 10 March 2020, Søren Mikkelsen

2020.03.10 | Kathrine Nielsen

Søren Mikkelsen

When working with or studying mathematical models in quantum mechanics one uses different mathematical tools (Theorems), where these requires some assumption to be fulfilled in order to be valid. One of these tools is Weyl’s law, which today covers a whole class of Theorems, where some are called optimal. An optimal Weyl’s law requires strong assumptions to be valid. These assumptions are in different settings not always valid.  

During his studies, Søren Mikkelsen has studied Weyl’s law in two different setting. The first is if it would be possible to prove an optimal Weyl’s law with less restrictive assumptions. The other setting is an application of an optimal Weyl’s law to verify some assumptions used in a study of a specific type of quantum mechanical system.

The PhD degree was completed at the Department of Mathematics, Science and Technology, Aarhus University.

This résumé was prepared by the PhD student.    

Time: Tuesday 10 March 2020 at 14.15
Place: Building 1531, room 215 , Lecture Theatre D3, Department of Mathematics, Aarhus University
Title of PhD thesis: Semiclassical Analysis – Optimal Weyl law with an application
Contact information: Søren Mikkelsen, e-mail: s.mikkelsen@bristol.ac.uk
Members of the assessment committee:
Professor Clotilde Fermanian Kammerer, Laboratoire d’Analyse et de Mathématiques Appliquées, Université Paris Est – Créteil Val-de-Marne, France
Professor San Vu Ngoc, IRMAR, University of Rennes1, France
Associate professor Erik Skibsted (chair), Department of Mathematics, Aarhus University
Main supervisor:
Professor Søren Fournais, Department of Mathematics, Aarhus University
Language: The PhD dissertation will be defended in English

The defence is public.
The PhD thesis is available for reading at the Graduate School of Science and Technology/GSST, Ny Munkegade 120, building 1521, 8000 Aarhus C.    

PhD defence
12183 / i43