Humboldt Universitaet zu Berlin Faculty of Mathematics and Natural Sciences Department of Chemistry auf deutsch

4020215134 Introduction to Integrability       

Präsenzkurs

classroom language

DE

aims

Integrability is a property/symmetry of special physical models which connects different physical and mathematical fields. The goal of this course is to gain an overview over the different facets and applications of integrability and to get to know interesting physical problems.

requirements

Knowledge of Quantum Mechanics. Knowledge of statistical physics and (quantum) field theory is useful.

structure / topics / contents

OVERVIEW
+ Integrability as an extended symmetry of physical models
+ exactly solvable systems
+ classical integrability
+ quantum integrability
CONCEPTS & METHODS
+ Lax pair
+ inverse scattering method
+ R-matrix
+ Yang-Baxter equation
+ factorized scattering
+ Bethe ansatz
+ nonlocal symmetries
+ quantum groups
+ Yangian symmetry
MODELS
+ classical integrable systems
+ spin chains
+ integrable field theory
+ AdS/CFT duality

assigned modules

P25.1.a P25.1.b

amount, credit points; Exam / major course assessment

4 SWS, 6 SP/ECTS (Arbeitsanteil im Modul für diese Lehrveranstaltung, nicht verbindlich)
Oral exam

other

The course will be taught in English.

contact

Florian Loebbert (IRIS Haus 2.25)

literature

B. Sutherland. Beautiful Models.
O. Babelon, D. Bernard, M. Talon. Introduction to Classical Integrable Systems.
P. Dorey. Exact S-matrices. www.http://arxiv.org/abs/hep-th/9810026
L. Faddeev. How algebraic Bethe ansatz works for integrble Model. www.http://arxiv.org/abs/hep-th/9605187

quod vide:

http://qft.physik.hu-berlin.de/teaching/