1.

Record Nr.

UNINA9910257413503321

Titolo

Geometric and Quantum Aspects of Integrable Systems [[electronic resource] ] : Proceedings of the Eighth Scheveningen Conference Scheveningen, The Netherlands, August 16–21, 1992 / / edited by G.F. Helminck

Pubbl/distr/stampa

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

ISBN

3-540-48090-0

Edizione

[1st ed. 1993.]

Descrizione fisica

1 online resource (IX, 228 p.)

Collana

Lecture Notes in Physics, , 0075-8450 ; ; 424

Disciplina

530.1/56362

Soggetti

Statistical physics

Dynamical systems

Quantum computers

Spintronics

Quantum physics

Complex Systems

Quantum Information Technology, Spintronics

Quantum Physics

Statistical Physics and Dynamical Systems

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di contenuto

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.

Sommario/riassunto

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.