منابع مشابه
Dualities in integrable systems: geometrical aspects
We discuss geometrical aspects of different dualities in the integrable systems of the Hitchin type and its various generalizations. It is shown that T duality known in the string theory context is related to the separation of variables procedure in dynamical system. We argue that there are analogues of S duality as well as mirror symmetry in the many-body systems of Hitchin type. The different...
متن کاملAspects of Quantum Groups and Integrable Systems
Many q-differential operators arise in the study of q-special functions, Casimir operators, quantum groups, and representation theory. There are also natural origins via quantum integrable systems and the quantization of classical integrable systems. The latter is often expressed via a q-hierarchy picture akin to the standard Hirota–Lax–Sato formulation and this has many canonical aspects. On t...
متن کاملGeometrical aspects of first-order optical systems
We reconsider the basic properties of ray-transfer matrices for firstorder optical systems from a geometrical viewpoint. In the paraxial regime of scalar wave optics, there is a wide family of beams for which the action of a raytransfer matrix can be fully represented as a bilinear transformation on the upper complex half-plane, which is the hyperbolic plane. Alternatively, this action can be a...
متن کاملGeometrical aspects of entanglement
X iv :q ua nt -p h/ 06 05 07 9 v1 8 M ay 2 00 6 Geometrical aspects of entanglement Jon Magne Leinaas, Jan Myrheim and Eirik Ovrum (a) Department of Physics, University of Oslo, P.O. Box 1048 Blindern, 0316 Oslo, Norway (b) Centre of Mathematics for Applications, P.O. Box 1053 Blindern, 0316 Oslo, Norway and (c) Department of Physics, The Norwegian University of Science and Technology, 7491 Tro...
متن کاملHidden geometrical structures in integrable models
The bootstrap equations for the ADE series of purely elastic scattering theories have turned out to be intimately connected with the geometry of root systems and the Coxeter element. An informal review of some of this material is given, mentioning also a couple of other contexts – the Pasquier models, and the simply-laced affine Toda field theories – where similar structures are encountered. Th...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Geometric Methods in Modern Physics
سال: 2008
ISSN: 0219-8878,1793-6977
DOI: 10.1142/s0219887808002886