Zobrazeno 1 - 10
of 462
pro vyhledávání: '"Talon, M."'
Autor:
Babelon, O., Talon, M.
Publikováno v:
Phys.Lett. A312 (2003) 71-77
We show that Riemann surfaces, and separated variables immediately provide classical Poisson commuting Hamiltonians. We show that Baxter's equations for separated variables immediately provide quantum commuting Hamiltonians. The construction is simpl
Externí odkaz:
http://arxiv.org/abs/hep-th/0209071
Autor:
Babelon, O., Talon, M.
We consider dynamical systems associated to Lax pairs depending rationnally on a spectral parameter. We show that we can express the symplectic form in terms of algebro--geometric data provided that the symplectic structure on L is of Kirillov type.
Externí odkaz:
http://arxiv.org/abs/solv-int/9812009
Autor:
Babelon, O., Talon, M.
We compute the symplectic structure of the spin Calogero model in terms of algebro-geometric data on the associated spectral curve.
Comment: 10 pages, Latex
Comment: 10 pages, Latex
Externí odkaz:
http://arxiv.org/abs/q-alg/9707011
The complete solutions of the spin generalization of the elliptic Calogero Moser systems are constructed. They are expressed in terms of Riemann theta-functions. The analoguous constructions for the trigonometric and rational cases are also presented
Externí odkaz:
http://arxiv.org/abs/hep-th/9411160
We use the definition of the Calogero-Moser models as Hamiltonian reductions of geodesic motions on a group manifold to construct their $R$-matrices. In the Toda case, the analogous construction yields constant $R$-matrices. By contrast, for Calogero
Externí odkaz:
http://arxiv.org/abs/hep-th/9306102
Publikováno v:
Phys.Lett. B303 (1993) 33-37
A classical R-matrix structure is described for the Lax representation of the integrable n-particle chains of Calogero-Olshanetski-Perelo\-mov. This R-matrix is dynamical, non antisymmetric and non-invertible. It immediately triggers the integrabilit
Externí odkaz:
http://arxiv.org/abs/hep-th/9210128
Autor:
Talon, M.
We study integrable dynamical systems described by a Lax pair involving a spectral parameter. By solving the classical Yang-Baxter equation when the R-matrix has two poles we show that they can be interpreted as natural motions on a twisted loop alge
Externí odkaz:
http://arxiv.org/abs/hep-th/9210014
Publikováno v:
Phys.Lett. B289 (1992) 361-367
We produce the general solution of the Wess-Zumino consistency condition for gauge theories of the Yang-mills type, for any ghost number and form degree. We resolve the problem of the cohomological independence of these solutions. In other words we f
Externí odkaz:
http://arxiv.org/abs/hep-th/9206106
Autor:
Babelon, O., Talon, M.
Publikováno v:
Nucl.Phys. B379 (1992) 321-339
The method of separation of variables is shown to apply to both the classical and quantum Neumann model. In the classical case this nicely yields the linearization of the flow on the Jacobian of the spectral curve. In the quantum case the Schr\"oding
Externí odkaz:
http://arxiv.org/abs/hep-th/9201035
Autor:
Henry W. Klein-Gebbinck, Calvin L. Yoder, Talon M. Gauthier, Nityananda Khanal, R. H. Azooz, Jennifer Otani, Noabur Rahman
Publikováno v:
Agronomy Journal. 113:4064-4084
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9a3c03ae4367d9d11f595c06e6ed0e5f
https://doi.org/10.1002/agj2.20781
https://doi.org/10.1002/agj2.20781
