The classical Toda lattice with long range interaction

Fahmi A.

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The classical Toda lattice with long range interaction

机译：具有远距离交互作用的经典Toda晶格

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In this Letter, I introduce a generalization of Toda lattice model, in which each site can interact with all other sites with different coupling constants. To show solvability of this model, by introducing new type of quantities (which are referred to as anti-Grassmanian numbers), the equations of motion are transformed to a Lax equation and constants of motion are derived. At last, by finding a proper r matrix involutivity of these constants are shown. (C) 2002 Elsevier Science B.V. All rights reserved. [References: 18]

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《Physics Letters, A》 |2003年第1期|共5页
作者
Fahmi A.;
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正文语种 eng
中图分类物理学;
关键词
Excitations; Integrals; Systems;

机译：兴奋;积分;系统;

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1. The classical Toda lattice with long range interaction [J] . Fahmi A. Physics Letters, A . 2003,第1期

机译：具有远距离交互作用的经典Toda晶格
2. The competing spin orders and fractional magnetization plateaus of the classical Heisenberg model on Shastry-Sutherland lattice: Consequence of long-range interactions [J] . Huo L., Huang W. C., Yan Z. B., Journal of Applied Physics . 2013,第7期

机译：Shastry-Sutherland晶格上经典Heisenberg模型的竞争自旋阶和分数磁化平稳期：远程相互作用的结果
3. The competing spin orders and fractional magnetization plateaus of the classical Heisenberg model on Shastry-Sutherland lattice: Consequence of long-range interactions [J] . L. Huo, W. C. Huang, Z. B. Yan, Journal of Applied Physics . 2013,第7期

机译：Shastry-Sutherland晶格上经典Heisenberg模型的竞争自旋阶和分数磁化平稳期：远程相互作用的结果
4. Solution of Toda lattices for semi-bounded initial data [C] . Alexander S. Mikhaylov, Victor S. Mikhaylov International Conference on Days on Diffraction . 2020

机译：用于半界初始数据的TODA格子解
5. The Kostant-Toda Lattice, Combinatorial Algorithms and Ultradiscrete Dynamics [D] . Ramalheira-Tsu, Jonathan. 2020

机译：Kostant-Toda格子，组合算法和超声动力学
6. Numerical simulations for the Toda lattices Hamiltonian system: Higher order symplectic illustrative perspective [O] . Asif Mushtaq, Amna Noreen, Muhammad Asif Farooq 2012

机译：Toda格子哈密顿系统的数值模拟：高阶辛说明性透视图
7. The competing spin orders and fractional magnetization plateaus of classical Heisenberg model on Shastry-Sutherland lattice: Consequence of long-range interactions [O] . Huo, Liu, Huang, Weichuan, Yan, Zhibo, 2012

机译：竞争旋转阶数和分数磁化高原 shastry-sutherland格子上的经典海森堡模型：远程互动
8. Toda lattice field theories, discrete W algebras, Toda lattice hierarchies and quantum groups [R] . Bonora, L. , Colatto, L. P. , Constantinidis, C. P. 1996

机译：Toda晶格场理论，离散W代数，Toda晶格层次和量子群

The classical Toda lattice with long range interaction

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