Geometric and Quantum Aspects of Integrable Systems

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Beschreibung

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.

Autorentext
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.

Klappentext

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.



Inhalt
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.

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Produktinformationen

Titel
Geometric and Quantum Aspects of Integrable Systems
Untertitel
Proceedings of the Eighth Scheveningen Conference Scheveningen, The Netherlands, August 16-21, 1992
Editor
EAN
9783662139301
ISBN
3662139308
Format
Kartonierter Einband
Herausgeber
Springer Berlin Heidelberg
Anzahl Seiten
240
Gewicht
371g
Größe
H235mm x B155mm x T13mm
Jahr
2013
Untertitel
Englisch
Auflage
Softcover reprint of the original 1st ed. 1993
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