(in Polish) Stability of matter

General data

Course ID:	1100-SM
Erasmus code / ISCED:	(unknown) / (0533) Physics The ISCED (International Standard Classification of Education) code has been designed by UNESCO.
Course title:	(unknown)
Name in Polish:	Stability of matter
Organizational unit:	Faculty of Physics
Course groups:	(in Polish) Physics (Studies in English), 2nd cycle; courses from list "Topics in Contemporary Physics" (in Polish) Physics (Studies in English); 2nd cycle (in Polish) Przedmioty do wyboru dla doktorantów;
Course homepage:	http://www.fuw.edu.pl/~marcnap
ECTS credit allocation (and other scores):	(not available) Basic information on ECTS credits allocation principles: the annual hourly workload of the student’s work required to achieve the expected learning outcomes for a given stage is 1500-1800h, corresponding to 60 ECTS; the student’s weekly hourly workload is 45 h; 1 ECTS point corresponds to 25-30 hours of student work needed to achieve the assumed learning outcomes; weekly student workload necessary to achieve the assumed learning outcomes allows to obtain 1.5 ECTS; work required to pass the course, which has been assigned 3 ECTS, constitutes 10% of the semester student load. view allocation of credits
Language:	English
Main fields of studies for MISMaP:	mathematics physics
Prerequisites (description):	(in Polish) Knowledge of analysis, functional analysis and operator theory are welcome but not necessary.
Mode:	Classroom
Short description:	(in Polish) 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.
Full description:	(in Polish) 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.
Bibliography:	(in Polish) "The Stability of Matter in Quantum Mechanics" E.H. Lieb , R. Seiringer, Cambridge.
Learning outcomes:	(in Polish) 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.
Assessment methods and assessment criteria:	(in Polish) Oral exam.
Practical placement:	(in Polish) Do not apply.

This course is not currently offered.

Course descriptions are protected by copyright.
Copyright by University of Warsaw.