Geometric and Quantum Aspects of Integrable Systems : Proceedings of the Eighth Scheveningen Conference Scheveningen, the Netherlands, August 16-21, 1992 (Lecture Notes in Physics)

Helminck, G.F. (EDT)

Springer-Verlag Berlin and Heidelberg GmbH & Co. K（1993/11発売）

• 製本 Hardcover:ハードカバー版／ページ数 237 p.
• 言語 ENG
• 商品コード 9783540573654
• DDC分類 530

Full Description

This is a collection of outstanding review papers on integrable systems. It gives the algebraic geometric aspects of the subject, describes integrability techniques e.g. for the modified KdV equation, integrability of Hamiltonian systems, hierarchies of equations, probability distribution of eigenvalues, and modern aspects of quantum groups. It addresses researchers in mathematics and mathematical physics.

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.