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1.
Poisson–Lie target space duality is a framework where duality transformations are properly defined. In this Letter, we investigate the dual pair of -models defined by the double SO(3,1) in the Iwasawa decomposition. 相似文献
2.
We analyse the problem of boundary conditions for the Poisson–Sigma model and extend previous results showing that non-coisotropic branes are allowed. We discuss the canonical reduction of a Poisson structure to a submanifold, leading to a Poisson algebra that generalizes Diracs construction. The phase space of the model on the strip is related to the (generalized) Dirac bracket on the branes through a dual pair structure.Mathematics Subject Classifications (2000). 81T45, 53D17, 81T30, 53D55. 相似文献
3.
We explicitly construct a class of coboundary Poisson–Lie structures on the group of formal diffeomorphisms of
n
. Equivalently, these give rise to a class of coboundary triangular Lie bialgebra structures on the Lie algebra W
n
of formal vector fields on
n
. We conjecture that this class accounts for all such coboundary structures. The natural action of the constructed Poisson–Lie diffeomorphism groups gives rise to large classes of compatible Poisson structures on
n
, thus making it a Poisson space. Moreover, the canonical action of the Poisson–Lie groups FDiff(
m
) × FDiff
n
) gives rise to classes of compatible Poisson structures on the space J
(
m
,
n
) of infinite jets of smooth maps
m
n
, which makes it also a Poisson space for this action. Poisson modules of generalized densities are also constructed. Initial steps towards a classification of these structures are taken. 相似文献
4.
Poisson斑的中心可以在很长的距离内保持与轴心共线因而能实现高精度的对心瞄准,这一技术被称为Poisson线技术.利用数值模拟和实验验证对Poisson线瞄准技术进行了初步研究.通过数值模拟发现,Poisson线上的光强随着离圆屏距离的增加而增大;Poisson斑直径随着圆屏直径增加而减小、随着距离增加而增加;其方向平行于入射激光束并过圆屏中心(待瞄准点).Poisson线对圆屏的倾斜非常不敏感,但是对中心的偏移非常敏感.模拟中发现Poisson线对10 μm的中心偏移敏感,初步实验验证Poisson线可实现50 μm的对心误差调节. 相似文献
5.
Poisson斑的中心可以在很长的距离内保持与轴心共线因而能实现高精度的对心瞄准,这一技术被称为Poisson线技术.利用数值模拟和实验验证对Poisson线瞄准技术进行了初步研究.通过数值模拟发现,Poisson线上的光强随着离圆屏距离的增加而增大;Poisson斑直径随着圆屏直径增加而减小、随着距离增加而增加;其方向平行于入射激光束并过圆屏中心(待瞄准点).Poisson线对圆屏的倾斜非常不敏感,但是对中心的偏移非常敏感.模拟中发现Poisson线对10 μm的中心偏移敏感,初步实验验证Poisson线可实现50 μm的对心误差调节.
关键词:
中子成像
Poisson线
Fresnel衍射 相似文献
6.
In this letter, first we give a decomposition for any Lie–Poisson structure associated to the modular vector. In particular, splits into two compatible Lie–Poisson structures if . As an application, we classified quadratic deformations of Lie– Poisson structures on up to linear diffeomorphisms.
Research partially supported by NSF of China and the Research Project of “Nonlinear Science”. 相似文献
7.
8.
提出一种并行求解不规则区域上的Poisson方程方法,将不规则区域转化为带约束的三维结构网格表示,在该区域采用红黑排序并行求解Poisson方程.数值实验表明,方法可较好地解决不规则区域上的Poisson并行求解问题.同时评估了不规则区域对并行性能带来的影响. 相似文献
9.
本文提出数值求解Poisson方程的含选择因子α的预示校正差分格式,它具有四阶精度。第一种格式处理Drichlet边界条件的Poisson方程,它包括Bramble的差分格式和林群、吕涛提出的差分外推格式。第二种格式处理Neumann边界条件的Poisson方程。对于工程计算常用的粗糙网络,作者建议采用α≲0.5的预示校正差分格式。 相似文献
10.
《Journal of Geometry and Physics》2001,39(3):217-232
We generalize Poisson–Nijenhuis structures. We prove that on a manifold endowed with a Nijenhuis tensor and a Jacobi structure which are compatible, there is a hierarchy of pairwise compatible Jacobi structures. Furthermore, we study the homogeneous Poisson–Nijenhuis structures and their relations with Jacobi structures. 相似文献
11.
12.
We introduce a notion of noncommutative Poisson–Nijenhuis structure on the path algebra of a quiver. In particular, we focus on the case when the Poisson bracket arises from a noncommutative symplectic form. The formalism is then applied to the study of the Calogero–Moser and Gibbons–Hermsen integrable systems. In the former case, we give a new interpretation of the bihamiltonian reduction performed in Bartocci et al. (Int Math Res Not 2010:279–296, 2010. arXiv:0902.0953). 相似文献
13.
N. Bel Baraka 《International Journal of Theoretical Physics》2002,41(4):737-752
Comparing the star product defined by Takhtajan on the Poisson–Lie group GL(2) and any star product calculated from the Kontsevich's graphs (any K-star product) on the same group, we show, by direct computation, that the Takhtajan star product on GL(2) can't be written as a K-star product. 相似文献
14.
Yan Guo 《Communications in Mathematical Physics》2001,218(2):293-313
Global classical solutions with small amplitude are constructed for the Cauchy problem to the Vlasov–Poisson–Boltzmann system,
which describes the dynamics of charged particles interacting with their self-consistent electrostatic potential as well as
with themselves through collisions.
Received: 29 September 2000 / Accepted: 27 November 2000 相似文献
15.
We introduce a new 2-parameter family of sigma models exhibiting Poisson–Lie T-duality on a quasitriangular Poisson–Lie group
G. The models contain previously known models as well as a new 1-parameter line of models having the novel feature that the
Lagrangian takes the simple form , where the generalised metric E is constant (not dependent on the field u as in previous models). We characterise these models in terms of a global conserved G-invariance. The models on G=SU
2 and its dual G
* are computed explicitly. The general theory of Poisson–Lie T-duality is also extended, notably the reduction of the Hamiltonian
formulation to constant loops as integrable motion on the group manifold. The approach also points in principle to the extension
of T-duality in the Hamiltonian formulation to group factorisations D=G⋈M, where the subgroups need not be dual or connected to the Drinfeld double.
Received: 22 August 1999 / Accepted: 4 February 2000 相似文献
16.
17.
应用半解析有限元线法分析三维旋转域内的Poisson方程。通过环向采用Fourier级数展开,原问题被转化为一系列旋转面上的二维问题,构造了相应的FEMOL单元,并对由柱坐标系带来的r=0处的奇异性以及各类退化单元边,线作了细致处理。 相似文献
18.
N. P. Landsman 《Communications in Mathematical Physics》2001,222(1):97-16
It is well known that a measured groupoid G defines a von Neumann algebra W
*(G), and that a Lie groupoid G canonically defines both a C
*-algebra C
*(G) and a Poisson manifold A
*(G). We construct suitable categories of measured groupoids, Lie groupoids, von Neumann algebras, C
*-algebras, and Poisson manifolds, with the feature that in each case Morita equivalence comes down to isomorphism of objects.
Subsequently, we show that the maps G↦W
*(G), G↦C
*(G), and G↦A
*(G) are functorial between the categories in question. It follows that these maps preserve Morita equivalence.
Received: 6 December 2000 / Accepted: 19 April 2001 相似文献
19.
We exhibit a Poisson module restoring a twisted Poincaré duality between Poisson homology and cohomology for the polynomial
algebra endowed with Poisson bracket arising from a uniparametrised quantum affine space. This Poisson module is obtained as the
semiclassical limit of the dualising bimodule for Hochschild homology of the corresponding quantum affine space. As a corollary
we compute the Poisson cohomology of R, and so retrieve a result obtained by direct methods (so completely different from ours) by Monnier.
This research of the first author was supported by a Marie Curie Intra-European Fellowship within the 6th European Community
Framework Programme. The second author was supported by EPSRC Grant EP/D034167/1. 相似文献
20.
量子信令态在传输过程中,由于环境影响产生退相干,造成信令损伤,从而会对构建高生存性的量子纠缠信令网产生影响. 为分析所造成的影响,建立了自然灾害下的量子信令网Poisson损伤模型. 首先,根据信令保真度定义了灾害级数;其次,提出信令态平均损伤量子比特数,并给出信令网生存函数;最后,研究了信令损伤的修复策略并进行仿真. 仿真结果表明,灾害级数的增加会大大降低信令网生存性,而增加信令转接点数和控制信令损伤上限可改善生存性,且该修复策略循环次数少,并可将信令态的保真度由0.6快速提高到0.9,信令网的生存函数由0.4提高到0.9.
关键词:
量子通信
量子信令网
保真度
生存函数 相似文献