Stability of matter
Informacje ogólne
Kod przedmiotu: | 1100-SM |
Kod Erasmus / ISCED: |
(brak danych)
/
(0533) Fizyka
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Nazwa przedmiotu: | Stability of matter |
Jednostka: | Wydział Fizyki |
Grupy: |
Physics (Studies in English), 2nd cycle; courses from list "Topics in Contemporary Physics" Physics (Studies in English); 2nd cycle Przedmioty do wyboru dla doktorantów; |
Strona przedmiotu: | http://www.fuw.edu.pl/~marcnap |
Punkty ECTS i inne: |
6.00
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Język prowadzenia: | angielski |
Kierunek podstawowy MISMaP: | fizyka |
Założenia (opisowo): | Knowledge of analysis, functional analysis and operator theory are welcome but not necessary. |
Tryb prowadzenia: | w sali |
Skrócony opis: |
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. |
Pełny opis: |
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. |
Literatura: |
"The Stability of Matter in Quantum Mechanics" E.H. Lieb , R. Seiringer, Cambridge. |
Efekty uczenia się: |
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. |
Metody i kryteria oceniania: |
Oral exam. |
Praktyki zawodowe: |
Do not apply. |
Zajęcia w cyklu "Semestr letni 2022/23" (zakończony)
Okres: | 2023-02-20 - 2023-06-18 |
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Typ zajęć: |
Ćwiczenia, 30 godzin
Wykład, 30 godzin
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Koordynatorzy: | Marcin Napiórkowski | |
Prowadzący grup: | Marcin Napiórkowski | |
Lista studentów: | (nie masz dostępu) | |
Zaliczenie: | Egzamin |
Właścicielem praw autorskich jest Uniwersytet Warszawski.