搜索结果: 1-15 共查到“理论物理学 Toda”相关记录23条 . 查询时间(0.098 秒)
Old and new reductions of dispersionless Toda hierarchy
dispersionless Toda hierarchy finite-variable reduction waterbag model Landau-Ginzburg potential Lowner equations
2012/6/21
Two types of finite-variable reductions of the dispersionless Toda hierarchy are considered in the geometric perspectives. The reductions are formulated in terms of "Landau-Ginzburg potentials" that p...
The Continuum Limit of Toda Lattices for Random Matrices with Odd Weights
The Continuum Limit of Toda Lattices Random Matrices Odd Weights
2011/7/25
Abstract: This paper is concerned with the asymptotic behavior of the free energy for a class of Hermitean random matrix models, with odd degree polynomial potential, in the large N limit. It continue...
KP and Toda tau functions in Bethe ansatz
Bethe ansatz Toda tau functions integrable hierarchies
2010/4/6
Recent work of Foda and his group on a connection between classical integrable hierarchies (the KP and 2D Toda hierarchies) and some quantum integrable systems (the 6-vertex model with DWBC, the finit...
Solutions of the sDiff(2)Toda equation with SU(2) Symmetry
sDiff(2)Toda equation SU(2) Symmetry
2010/3/17
We present the general solution to the Plebanski equation for an H-space that admits Killing vectors for an entire SU(2) of symmetries, which is therefore also the general solution of the sDiff(2)Toda...
长程关联的仿射Toda理论
可积体系 仿射Toda场 近邻作用 长程关联
2009/11/11
给出了一种长程关联的Ｔｏｄａ场模型，并讨论这种模型与标准近邻作用仿射Ｔｏｄａ场模型的联系 。
osp(1|4)Toda模型解的构造
ToDa 超代数 最高权 手征
2009/7/30
将Leznov–Saveliev代数分析和Drinfeld–Sokolov构造这种方法推广到超对称情形,并运用这种方法给出osp(1|4)Toda模型的解,从而将这种方法推广到二秩情况.
仿射Toda场作为约束的WZNW模型
WZNW模型 仿射Toda场
2009/7/30
由共形不变的WZNW模型加约束导出了Sine-Gordon方程,得到了它的作用量、运动方程、正则等时Poisson括号、能动量张量,说明了Sine-Gordon方程的非共形不变但完全可积性质,并将加约束的WZNW模型联系于非线性σ模型.此外还通过约束导出了SL(n,R)仿射Toda场及SL(2,R)共形仿射Toda场.
Loop代数L(Dr)上的推广Toda力学系统研究
Toda多体力学系统 Lax Pair 运动方程 泊松括号
2009/7/10
对Loop代数L(Dr)上具有长程相互作用的Toda力学系统进行推广,用一组有序整数对(X,Y)来表示Toda链,构造出Loop代数L(Dr)的LaxPair,并给出了系统在(3,2)Toda链情况下的运动方程和Hamiltonian结构.在此模型中,标准的Toda变量之间和附加的坐标变量之间的泊松括号都非零,部分附加的坐标变量之间的泊松结构构成李代数.
研究Loop代数上的一种Toda系统L=[L,M], 其Lax Pair中的M是反对称矩阵,而L=L++M, L+是准上三角矩阵(包含对角部分), 证明这种系统的Lax方程的求解问题与相关的正则Riemann-Hilbert问题等价. 按此方法, 发现在某些特定的初值条件下系统是可积的. 并给出实例求解这一问题, 得到了精确解.
经典李代数Dr上推广的Toda力学系统
根系(李代数) ToDa链 Lax pair 泊松括号
2009/7/10
根据经典李代数Dr根系的特点构造Laxpair,得到李代数Dr上推广的Toda链(这些链用一组有序整数(m,n)表示,m、n分别表示正、负根的级数),并给出m,n≤3时系统的运动方程、哈密顿量以及泊松括号的具体形式.
为了说明文献[12]的方法,我们在sl2p+q的(pqp)分块阶化下,利用(pqp)Toda系统的正则形式明显构造了相应的代数W[(pqp)2],并讨论了它的各种极限情形及其与W[(pq+p)1]同构的特点.
利用李代数g的整数阶化,我们研究了一大批共形约化WZNW模型的方案Cons[g(H,d)].在正规约束的条件下,构造了W代数W[g(H,d)]的基——约束Kac-Moody流的O'Raifeartaigh规范,并导出了相应于每个W代数的广义Toda类可积模型的运动方程.
Conformal Affine Toda Fields on Loop Algebra: A2(2) Case
conformal invariant loop algebra Toda R-matrix
2007/8/15
2001Vol.35No.4pp.435-440DOI:
Conformal Affine Toda Fields on Loop Algebra: A2(2) Case
CHAO Liu and YANG Zhan-Ying
Institute of Modern Physics, Northwest University, Xi'a...
A Note on Casoratian Solutions to Two-Dimensional Toda Lattice
Casoratian solution two-dimensional Toda lattice bilinear
2007/8/15
2007Vol.47No.3pp.390-392DOI:
A Note on Casoratian Solutions to Two-Dimensional Toda Lattice
ZHANG Da-Jun and WU Hua
Department of Mathematics, Shanghai University, Shang...
2002Vol.38No.6pp.679-682DOI:
Boson-Fermion Duality
in A2 Toda Field Theory
YANG Zhan-Ying, ZHAO Liu, and SHI Kang-Jie
Institute of Modern Physics, Northwest University,...