Geometric and Quantum Aspects of Integrable Systems

Proceedings of the Eighth Scheveningen Conference Scheveningen, The Netherlands, August 16¿21, 1992
Herausgegeben:Helminck, G. F.

• Broschiertes Buch

Produktbeschreibung

This is a collection of outstanding review papers onintegrable systems. It gives the algebraic geometric aspectsof the subject, describes integrability techniques e.g. forthe modified KdV equation, integrability of Hamiltoniansystems, hierarchies of equations, probability distributionof eigenvalues, and modern aspects of quantum groups. Itaddresses researchers in mathematics and mathematicalphysics.

Produktdetails

• Lecture Notes in Physics 424
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-662-13930-1
• Softcover reprint of the original 1st ed. 1993
• Seitenzahl: 240
• Erscheinungstermin: 20. November 2013
• Englisch
• Abmessung: 235mm x 155mm x 14mm
• Gewicht: 371g
• ISBN-13: 9783662139301
• ISBN-10: 3662139308
• Artikelnr.: 39914933

Autorenporträt

The survey articles on integrable systems give a comprehensive survey of modern research in this area. Algebraic and geometric aspects are dealt with, as are non-linear equations, hierarchies of equations, and quantum groups.

Inhaltsangabe

Isospectral flow and Liouville-Arnold integration in loop algebrast.- Geometry of the modified KdV equation.- Integrable hierarchies and quantum gravity.- A geometric construction of solutions of the Toda lattice hierarchy.- to random matrices.- The geometry of elastic waves propagating in an anisotropic elastic medium.- Mathematical addenda to hopper's model of plane stokes flow driven by capillarity on a free surface.- Quantization of integrable mappings.- Some aspects of the q-deformed oscillator algebras as quantum groups.