- Series
- PDE Working Seminar
- Time
- Friday, January 16, 2015 - 3:00pm for 1 hour (actually 50 minutes)
- Location
- Skiles 202
- Speaker
- Michael Loss – GeorgiaTech – loss@math.gatech.edu – http://people.math.gatech.edu/~loss/
- Organizer
- Zaher Hani
It is an everyday observation that the internal energy of a piece of material is extensive, i.e., proportional to the number of atoms in this material. A celebrated result of Dyson and Lenard (1967) explains this fact on the basis of quantum mechanics, the fundamental theory that is the basis for the description of the material world. The proof of Dyson and Lenard was greatly simplified by Lieb and Thirring (1975) using Thomas Fermi theory and what is now called the Lieb-Thirring inequality. In these talks I explain the notion of Stability, give an outline of the Lieb-Thirring proof and explain a proof of the Lieb-Thirring inequality with good constants. If time permits I will talk about further developments, like systems interacting with magnetic fields.