Stability of matter 1100-SM
Why doesn't the collection of negatively charged electrons and positively charged nuclei implode into a minuscule mass of amorphus matter thousands of times denser thatn the material normally seen in our world? The goal of this lecture is to provide answers to these kind of question within a mathematically rigorous approach. The central mathematical tool that we will learn are the so-called Lieb-Thirring inequalities.
The main topics we will cover during the course are:
1) Stability of first and second kind
2) Lieb- Thirring inequalities
3) Kinetic and electrostatic inequalities
4) Stability of non-relativistic matter
5) Relativistic matter
6) The ionization conjecture
If time permits we will also discuss the relation to density functional theory.
Kierunek podstawowy MISMaP
fizyka
Tryb prowadzenia
Założenia (opisowo)
Efekty kształcenia
Knowledge:
Knowledge of the mathematical basics of many-fermion systems.
Skills:
Application of Lieb-Thirring inequalities
Attitude:
Precision of thought and pursuit of a deeper understanding of theoretical formalisms used in physics.
Kryteria oceniania
Oral exam.
Praktyki zawodowe
Do not apply.
Literatura
"The Stability of Matter in Quantum Mechanics" E.H. Lieb , R. Seiringer, Cambridge.
Więcej informacji
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