Geometric and Quantum Aspects of Integrable Systems - Proceedings of the Eighth Scheveningen Conference Scheveningen, The Netherlands, August 16-21, 1992

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.

List of contents

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.

Product details

• Assisted by: F Helminck (Editor), G F Helminck (Editor), G. F. Helminck (Editor), G.F. Helminck (Editor)
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 14.11.2013
• EAN: 9783662139301
• ISBN: 978-3-662-13930-1
• No. of pages: 228
• Dimensions: 155 mm x 237 mm x 13 mm
• Illustrations: IX, 228 p.
• Series: Lecture Notes in Physics; Lecture Notes in Physics
• Subject: Natural sciences, medicine, IT, technology > Physics, astronomy > Theoretical physics