L. D. Faddeev's Seminar on Mathematical Physics

Front Cover
American Mathematical Soc., 2000 - Mathematics - 321 pages
Professor L. D. Faddeev's seminar at Steklov Mathematical Institute (St. Petersburg, Russia) has a record of more than 30 years of intensive work which has helped to shape modern mathematical physics. This collection, honoring Professor Faddeev's 65th anniversary, has been prepared by his students and colleagues. Topics covered in the volume include classical and quantum integrable systems (both analytic and algebraic aspects), quantum groups and generalizations, quantum field theory, and deformation quantization. Included is a history of the seminar highlighting important developments, such as the invention of the quantum inverse scattering method and of quantum groups. The book will serve nicely as a comprehensive, up-to-date resource on the topic.
 

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Contents

Some personal historic notes on our seminar
1
Incidence matrix description of intersecting pbrane solutions
19
A discrete time Lagrange top and discrete elastic curves
39
The GelfandLevitanMarchenko equation and the longtime asymptotics
63
From the tetrahedron equation to universal Rmatrices
79
Quantum inverse scattering method and correlation functions
115
Drinfeld twists and algebraic Bethe Ansatz
137
Darboux transformations covariance theorems and integrable systems
179
Generalized qdeformed GelfandDickey structures on the group
211
Deformation quantization of Kähler manifolds
257
rmatrix approach I
277
Completeness of the hypergeometric solutions of the qkZ equation at level
309
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