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1.
Matveev Vladimir B. Semenov-Tian-Shansky Michel 《Letters in Mathematical Physics》2019,109(6):1269-1270
Letters in Mathematical Physics - 相似文献
2.
A relation between quantum R-matrices and certain factorization problem in Hopf algebras is established. A definition of dressinf transformation in the quantum case is also given. 相似文献
3.
Ian Marshall Michael Semenov-Tian-Shansky 《Communications in Mathematical Physics》2008,284(2):537-552
We combine the projective geometry approach to Schroedinger equations on the circle and differential Galois theory with the
theory of Poisson Lie groups to construct a natural Poisson structure on the space of wave functions (at the zero energy level).
Applications to KdV-like nonlinear equations are discussed. The same approach is applied to 2nd order difference operators on a one-dimensional lattice, yielding an extension of the lattice Poisson Virasoro algebra. 相似文献
4.
M. A. Semenov-Tian-Shansky 《Journal of Mathematical Sciences》1995,77(3):3236-3242
A regularization of the Poisson brackets of the monodromy matrices based on the method of zero range potentials is proposed.
Classification of the regularized brackets is reduced to the classical Yang-Baxter identity for the square of the initial
Lie algebra. Bibliography: 11 titles.
Respectfully dedicated to O. A. Ladyzhenskaya
Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 200, 1992, pp. 156–166.
Translated by M. A. Semenov-Tian-Shansky. 相似文献
5.
A. I. Bobenko A. G. Reyman M. A. Semenov-Tian-Shansky 《Communications in Mathematical Physics》1989,122(2):321-354
A natural Lax pair for the Kowalewski top is derived by using a general group-theoretic approach. This gives a new insight into the algebraic geometry of the top and leads to its complete solution via finite-band integration theory. 相似文献
6.
A. P. Fordy A. G. Reyman M. A. Semenov-Tian-Shansky 《Letters in Mathematical Physics》1989,17(1):25-29
The formalism of classical r-matrices is used to construct families of compatible Poisson brackets for some nonlinear integrable systems connected with Virasoro algebras. We recover the coupled KdV [1] and Harry Dym [2] systems associated with the auxiliary linear problem 1 $$\sum\limits_{i = 0}^N {\lambda '\left( {a_i \frac{{{\text{d}}^{\text{2}} }}{{{\text{dx}}^2 }} + {\text{u}}_{\text{i}} } \right)} \psi = 0$$ . 相似文献
7.
8.
M. V. Polyakov K. M. Semenov-Tian-Shansky 《The European Physical Journal A - Hadrons and Nuclei》2009,40(2):181-198
We establish a link between the dual parametrization of GPDs and a popular parametrization based on the double distribution
Ansatz, which is in prevalent use in phenomenological applications. We compute several first forward-like functions that express
the double distribution Ansatz for GPDs in the framework of the dual parametrization and show that these forward-like functions
make the dominant contribution into the GPD quintessence function. We also argue that the forward-like functions with
1 contribute to the leading singular small-xBj behavior of the imaginary part of DVCS amplitude. This makes the small-xBj behavior of independent of the asymptotic behavior of PDFs. Assuming analyticity of Mellin moments of GPDs in the Mellin space we are
able to fix the value of the D -form factor in terms of the GPD quintessence function N(x, t) and the forward-like function Q
0(x, t) . 相似文献
9.
A Lax pair for a new family of integrable systems on SO(4) is presented. The construction makes use of a twisted loop algebra of theG
2 Lie algebra. We also describe a general scheme producing integrable cases of the generalized rigid body motion in an external field which have a Lax representation with spectral parameter. Several other examples of multi-dimensional tops are discussed. 相似文献
10.
S. Kharchev D. Lebedev M. Semenov-Tian-Shansky 《Communications in Mathematical Physics》2002,225(3):573-609
The paper deals with the analytic theory of the quantum q-deformed Toda chains; the technique used combines the methods of representation theory and the Quantum Inverse Scattering
Method. The key phenomenon which is under scrutiny is the role of the modular duality concept (first discovered by L. Faddeev)
in the representation theory of noncompact semisimple quantum groups. Explicit formulae for the Whittaker vectors are presented
in terms of the double sine functions and the wave functions of the N-particle q-deformed open Toda chain are given as a multiple integral of the Mellin–Barnes type. For the periodic chain the two dual
Baxter equations are derived.
Received: 11 April 2001 / Accepted: 8 October 2001 相似文献