Geometric and Quantum Aspects of Integrable Systems de G. F. Helminck

Geometric and Quantum Aspects of Integrable Systems: Proceedings of the Eighth Scheveningen Conference Scheveningen, The Netherlands, August 16–21, 1992: Lecture Notes in Physics, cartea 424

G. F. Helminck

en Limba Engleză Paperback – 20 noi 2013

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.

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Specificații

ISBN-13: 9783662139301
ISBN-10: 3662139308
Pagini: 240
Ilustrații: IX, 228 p.
Dimensiuni: 155 x 235 x 13 mm
Greutate: 0.34 kg
Ediția:Softcover reprint of the original 1st ed. 1993
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Physics

Locul publicării:Berlin, Heidelberg, Germany

Cuprins

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.