Mathematisches Kolloquium
On Thursday May 9th, 2019, at 16:30h
Douglas Lundholm
(Skolan för teknikvetenskap (SCI))
will give a talk in lecture hall A027 on
Mathematical Methods for Uncertainty and Exclusion in Quantum Menchanics
Abstract: The success of quantum mechanics over classical mechanics in explaining properties of matter such as the periodic table of the elements, stability against collapse, etc, rests on two fundamental principles: the uncertainty principle and the exclusion principle. There is a powerful functional inequality known as the Lieb-Thirring inequality which incorporates these two principles and may be used to prove stability for "ordinary matter" which is subject to fermionic statistics and Pauli's exclusion principle. Recently this inequality has been extended to situations where only weaker forms of exclusion apply, such as for certain contact interactions. If there is time, I will also discuss exotic forms of particle statistics possible in two dimensions, namely "anyons" and their exclusion properties.
Everyone is invited! Join us for coffee and tea in the common room (B448) half an hour before the talk.