SF2724 Methods of Modern Mathematical Physics (Topics in Mathematics IV)

The aim of the course is to introduce some very important mathematical methods frequently used to solve problems in quantum mechanics, such as quantitative strong versions of the uncertainty principle of the form of Hardy, Sobolev and Poincaré inequalities, as well as general versions of the Pauli exclusion principle, leading to the celebrated Lieb-Thirring energy inequality that combines these two fundamental principles. We shall use very recent and fairly simple techniques to obtain these bounds which then are applied to give a rigorous proof of the (apparent but surprisingly subtle) stability of ordinary matter.

For more information, see the course webpage.