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The Arnold Sommerfeld Center for Theoretical Physics organizes regular colloquia about topics of current interest in the field of theoretical physics.
R-matrix Quantization of the Ruijsenaars-Schneider Models
Sommerfeld Theory Colloquium (ASC)
1 hour 12 minutes 11 seconds
4 months ago
R-matrix Quantization of the Ruijsenaars-Schneider Models
I describe an algebraic scheme for quantizing the Ruijsenaars-Schneider
models in the R-matrix formalism. It is based on a special parametrization
of the cotangent bundle over GL(n,C). In new variables
the standard symplectic structure is described by a classical (Frobenius)
r-matrix and by a new dynamical r¯-matrix. Quantizing these
r-matrices, I will exhibit the quantum L-operator algebra and construct
its particular representation corresponding to the RuijsenaarsSchneider
system. I will also indicate a couple of open problems.
Sommerfeld Theory Colloquium (ASC)
The Arnold Sommerfeld Center for Theoretical Physics organizes regular colloquia about topics of current interest in the field of theoretical physics.
