Topics in Mathematics IV
Methods of modern mathematical physics
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.
Recommended prerequisite course: SF2743 Advanced Real Analysis I
The course starts Tuesday January 17 at 10:15 in D33. More information about the course will be made available in the links in the menu to the left.
Lecturer: Douglas Lundholm
- Henrik Shah Gholian Examiner, Course responsible, Teacher