19229411 Seminar on Stochastics "Random Schrödinger Operators"
- FU-Students only need to register via Campus Management.
- Non-FU-students are required to register via MyCampus/Whiteboard.
Summer Term 2024
Lecturer: Dr. Immanuel Zachhuber
- Time and place: Thursday, 2:15pm--3:45pm, in SR 025/026, Arnimallee 6.
If you want to participate, please write an email to immanuel.zachhuber@fu-berlin.de
Prerequisites: In order to take part it is important to have some knowledge on stochastic analysis (e.g. Stochastics III) and functional analysis although some talks will be more introductory and require less in background knowledge.
Target group: Master students and BMS students.
Contents: We will largely follow the lecture notes “An Invitation to Random Schrödinger operators".
Depending on the number of participants, we might include extended discussions on topics like the spectral theory of unbounded operators, Anderson localisation, physical (Quantum Mechanical) interpretation amongst others.
Talks
| Date | Ttitle | Speaker |
|---|---|---|
| 18.04. | Initial meeting, distribution of talks | Immanuel Zachhuber |
| 25.04. | Introductory talk (roughly Ch. 1 & 2) | Immanuel Zachhuber |
| 02.05. | Discrete Anderson model +spectral calculus (Ch. 3.1 & 3.2) | N.N. |
| 09.05. | Christi Himmelfahrt | |
| 16.05. | Spectral calculus (cont. rest of ch. 3) | N.N. |
| 23.05. | Denstiy of States (Ch. 5) Part 1 | N.N. |
| 30.05. | Denstiy of States (Ch. 5) Part 2 | N.N. |
| 06.06. | Lifshitz Tails (Ch. 6) | N.N. |
| 13.06. | No seminar | |
| 20.06. | Physical meaning of spectrum (Ch. 7) | N.N. |
| 27.06. | Anderson localisation (Ch. 8) | N.N. |
| 04.07. | Proof of Anderson Localisation (Ch. 9-10) Part 1 | N.N. |
| 11.07. | Proof of Anderson Localisation (Ch. 9-10) Part 2 | N.N. |
| 18.07. | N.N. |
Literature
- [1] Kirsch, Werner: An Invitation to Random Schrödinger operators. https://arxiv.org/pdf/0709.3707.pdf