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pro vyhledávání: '"Marshall, I"'
Autor:
Feher, L., Marshall, I.
We report on the the trigonometric spin Ruijsenaars--Sutherland hierarchy derived recently by Poisson reduction of a bi-Hamiltonian hierarchy associated with free geodesic motion on the Lie group U(n). In particular, we give a direct proof of a previ
Externí odkaz:
http://arxiv.org/abs/2007.09658
Publikováno v:
Annales Henri Poincare 22 (2021) 615-675
We investigate the trigonometric real form of the spin Ruijsenaars-Schneider system introduced, at the level of equations of motion, by Krichever and Zabrodin in 1995. This pioneering work and all earlier studies of the Hamiltonian interpretation of
Externí odkaz:
http://arxiv.org/abs/2007.08388
Publikováno v:
In Journal of Archaeological Science: Reports April 2023 48
Publikováno v:
In Journal of Archaeological Science: Reports February 2022 41
Autor:
Feher, L., Marshall, I.
Publikováno v:
Annales Henri Poincare 20 (2019) 1217-1262
Integrable many-body systems of Ruijsenaars--Schneider--van Diejen type displaying action-angle duality are derived by Hamiltonian reduction of the Heisenberg double of the Poisson-Lie group $\mathrm{SU}(2n)$. New global models of the reduced phase s
Externí odkaz:
http://arxiv.org/abs/1710.08760
The action-angle dual of an integrable Hamiltonian system of Ruijsenaars--Schneider--van Diejen type
Autor:
Feher, L., Marshall, I.
Publikováno v:
J. Phys. A: Math. Theor. 50 (2017) 314004
Integrable deformations of the hyperbolic and trigonometric ${\mathrm{BC}}_n$ Sutherland models were recently derived via Hamiltonian reduction of certain free systems on the Heisenberg doubles of ${\mathrm{SU}}(n,n)$ and ${\mathrm{SU}}(2n)$, respect
Externí odkaz:
http://arxiv.org/abs/1702.06514
Autor:
Marshall, I.
Publikováno v:
In Journal of Geometry and Physics December 2021 170