SS 2017 WS 2016
SS 2016
SS 2015 WS 2015
Department of Physics
open chemistry
KVL / Klausuren / MAP 1st HS: 18.04  2nd HS: 06.06  sem.br.: 25.07  begin WS: 15.10

4020160121 Integrable Models  VVZ 

VL
Tue 11-13
weekly ZGW 6 2'21 (36) Florian Löbbert
UE
Thu 9-11
14-day ZGW 6 2'21 (36) Florian Löbbert

Digital- & Präsenz-basierter Kurs

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
+ Yang-Mills theory and AdS/CFT duality
Assigned modules
P23.1.2a P23.1 GK1504 1
Amount, credit points; Exam / major course assessment
3 SWS, 5 SP/ECTS (Arbeitsanteil im Modul für diese Lehrveranstaltung, nicht verbindlich)
Homeworks will be given every two weeks and discussed together in the excercise classes. An oral exam is envisaged at the end of the course.
Contact
Florian Loebbert ZGW 6, 2.25
Literature
B. Sutherland. Beautiful Models.
O. Babelon, D. Bernard, M. Talon. Introduction to Classical Integrable Systems.
N. J. Hitchin, G.B. Segal, R.S. Ward. Integrable Systems.
V. E. Korepin, N.M. Bogoliubov, A.G. Izergin. Quantum Inverse Scattering Method and Correlation Functions.
V. Chari, A. Pressley. A Guide to Quantum Groups.
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/
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