The trigonometric spin Ruijsenaars-Sutherland hierarchy is obtained by Poisson reduction of a bi-Hamiltonian free system on T*U(n), yielding explicit compatible reduced Poisson brackets.
Calogero, Solution of the one-dimensional N-body problem with quadra tic and/or in- versely quadratic pair potentials , J
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math-ph 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Reduction of a bi-Hamiltonian hierarchy on $T^*\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models
The trigonometric spin Ruijsenaars-Sutherland hierarchy is obtained by Poisson reduction of a bi-Hamiltonian free system on T*U(n), yielding explicit compatible reduced Poisson brackets.