Geometric and Quantum Aspects of Integrable Systems : Proceedings of the Eighth Scheveningen Conference Scheveningen, The Netherlands, August 16–21, 1992. 1st ed. 1993

種類:

電子ブック

責任表示:

edited by G.F. Helminck

出版情報:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1993

著者名:

• Helminck, G.F.
• SpringerLink (Online service)

シリーズ名:

Lecture Notes in Physics ; 424

ISBN:

9783540480907 [3540480900]    

注記:

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.
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.

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