Geometric and Quantum Aspects of Integrable Systems
Geometric and Quantum Aspects of Integrable Systems Proceedings of the Eighth Scheveningen Conference Scheveningen, The Netherlands, August 16–21, 1992 / [electronic resource] :
edited by G. F. Helminck.
- IX, 228 p. online resource.
- Lecture Notes in Physics, 424 0075-8450 ; .
- Lecture Notes in Physics, 424 .
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.
9783540480907
10.1007/BFb0021439 doi
Quantum theory.
Statistical physics.
Complex Systems.
Quantum Information Technology, Spintronics.
Quantum Physics.
Statistical Physics and Dynamical Systems.
QC174.7-175.36
621
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.
9783540480907
10.1007/BFb0021439 doi
Quantum theory.
Statistical physics.
Complex Systems.
Quantum Information Technology, Spintronics.
Quantum Physics.
Statistical Physics and Dynamical Systems.
QC174.7-175.36
621