Zobrazeno 1 - 10
of 100
pro vyhledávání: '"Inozemtsev, A. I."'
We propose the exact solution of the equation in separated variable which appears in the process of constructing solutions to the quantum Calogero-Moser three-particle problem with elliptic two-particle potential $g(g-1)\wp(q)$. This solution is foun
Externí odkaz:
http://arxiv.org/abs/1710.08658
Autor:
Inozemtsev, A. I.1 (AUTHOR) a.inozemcev@rgau-msha.ru, Barysheva, I. V.2 (AUTHOR)
Publikováno v:
Journal of Mathematical Sciences. Mar2023, Vol. 270 Issue 4, p556-561. 6p.
Autor:
Barba, J. C., Inozemtsev, V. I.
Publikováno v:
Phys. Lett. A 372 (2008) 5951-5954
We describe a class of the singular solutions to the multicomponent analogs of the Lam{\'e} equation, arising as equations of motion of the elliptic Calogero--Moser systems of particles carrying spin 1/2. At special value of the coupling constant we
Externí odkaz:
http://arxiv.org/abs/0804.3090
Autor:
Dittrich, J., Inozemtsev, V. I.
Publikováno v:
Regular and Chaotic Dynamics 13,19-26(2008)
We prove the commutativity of the first two nontrivial integrals of motion for quantum spin chains with elliptic form of the exchange interaction. We also show thair linear independence for the numbers of spins larger than 4. As a byproduct, we obtai
Externí odkaz:
http://arxiv.org/abs/0711.1973
Publikováno v:
SIGMA 2 (2006), 069, 9 pages
The simplified models of interaction of charged matter with resonance modes of radiation generalizing the well-known Jaynes-Cummings and Dicke models are considered. It is found that these new models are integrable for arbitrary numbers of dipole sou
Externí odkaz:
http://arxiv.org/abs/nlin/0610031
Autor:
Dittrich, J., Inozemtsev, V. I.
Using the integral representation of the inverse of the logarithmic derivative of the elliptic theta function, the spectrum of the Lax matrix for the 1D system of particles interacting via inverse sinh-squared potential is shown to be given by the as
Externí odkaz:
http://arxiv.org/abs/math-ph/0312061
Autor:
Inozemtsev, V. I.
Publikováno v:
Phys.Part.Nucl. 34 (2003) 166-193; Fiz.Elem.Chast.Atom.Yadra 34 (2003) 332-387
The review of recent results in the s=1/2 quantum spin chains with $1/\sinh^2(\kappa r$ exchange is presented. Related problems in the theory of classical and quantum Calogero-Sutherland-Moser systems with inverse square hyperbolic and elliptic poten
Externí odkaz:
http://arxiv.org/abs/hep-th/0201001
Autor:
Inozemtsev, V. I., Sasaki, R.
Publikováno v:
Mod.Phys.Lett. A16 (2001) 1941-1950
The problem of finding most general form of the classical integrable relativistic models of many-body interaction of the $BC_{n}$ type is considered. In the simplest nontrivial case of $n=2$,the extra integral of motion is presented in explicit form
Externí odkaz:
http://arxiv.org/abs/hep-th/0108155
Autor:
Inozemtsev, V. I., Sasaki, R.
Publikováno v:
Phys.Lett. A289 (2001) 301-305
Examples of scalar conserved currents are presented for trigonometric, hyperbolic and elliptic versions of the Hubbard model with non-nearest neighbour variable range hopping. They support for the first time the hypothesis about the integrability of
Externí odkaz:
http://arxiv.org/abs/hep-th/0106130
Autor:
Inozemtsev, V. I., Sasaki, R.
Publikováno v:
Nucl.Phys. B618 (2001) 689-698
The universal formulation of spin exchange models related to Calogero-Moser models implies the existence of integrable hierarchies, which have not been explored. We show the general structures and features of the spin exchange model hierarchies by ta
Externí odkaz:
http://arxiv.org/abs/hep-th/0105197