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951.
We construct a representation of Uq(sl2) at level -1/2 by using the bosonic Fock spaces. The irreducible modules are obtained as the kernel of a certain operator, in contrast to the construction by Feingold and Frenkel for q = 1 where such a procedure is not necessary. We also bosonize the q-vertex operators associated with the vector representation. 相似文献
952.
953.
引入Whittaker方程的Birkhoff表示,构造与该表示对应的Hamilton函数,并利用Hamilton-Poisson方法得到Whittaker方程的解.指出上述Hamilton函数与传统分析力学中Hamilton函数的区别. 相似文献
954.
Glenn Easley Demetrio Labate Wang-Q Lim 《Applied and Computational Harmonic Analysis》2008,25(1):25-46
In spite of their remarkable success in signal processing applications, it is now widely acknowledged that traditional wavelets are not very effective in dealing multidimensional signals containing distributed discontinuities such as edges. To overcome this limitation, one has to use basis elements with much higher directional sensitivity and of various shapes, to be able to capture the intrinsic geometrical features of multidimensional phenomena. This paper introduces a new discrete multiscale directional representation called the discrete shearlet transform. This approach, which is based on the shearlet transform, combines the power of multiscale methods with a unique ability to capture the geometry of multidimensional data and is optimally efficient in representing images containing edges. We describe two different methods of implementing the shearlet transform. The numerical experiments presented in this paper demonstrate that the discrete shearlet transform is very competitive in denoising applications both in terms of performance and computational efficiency. 相似文献
955.
Deutsch and Hayden have proposed an alternative formulation of quantum mechanics which is completely local. We argue that
their proposal must be understood as having a form of ‘gauge freedom’ according to which mathematically distinct states are
physically equivalent. Once this gauge freedom is taken into account, their formulation is no longer local. 相似文献
956.
Density matrix of two interacting particles with kinetic coupling derived in bipartite entangled state representation 下载免费PDF全文
A density matrix is usually obtained by solving the Bloch equation,
however only a few Hamiltonians' density matrices can be analytically
derived. The density matrix for two interacting particles with
kinetic coupling is hard to derive by the usual method due to this
coupling; this paper solves this problem by using the bipartite
entangled state representation. 相似文献
957.
通过δ-Jordan李超代数T的表示和上同调理论,构造δ-Jordan李超代数T■V.证明了δ-Jordan李超代数的等价交换扩张给出相同的表示.通过δ-Jordan李超代数的表示和其交换扩张得到2-上圈. 相似文献
958.
Ikumitsu Nagasaki 《数学学报(英文版)》2018,34(10):1485-1500
The isovariant Borsuk–Ulam constant c G of a compact Lie group G is defined to be the supremum of c ∈ R such that the inequality c(dim V-dim V~G) ≤ dim W-dim W~G holds whenever there exists a G-isovariant map f : S(V) → S(W) between G-representation spheres.In this paper,we shall discuss some properties of c G and provide lower estimates of c G of connected compact Lie groups,which leads us to some Borsuk–Ulam type results for isovariant maps.We also introduce and discuss the generalized isovariant Borsuk–Ulam constant G for more general smooth G-actions on spheres.The result is considerably different from the case of linear actions. 相似文献
959.
Given an algebraically closed field F of characteristic 0 and an F-vector space V, let L(V)?=?V⊕Λ2(V) denote the free 2-step nilpotent Lie algebra associated to V. In this paper, we classify all uniserial representations of the solvable Lie algebra 𝔤?=??x??L(V), where x acts on V via an arbitrary invertible Jordan block. 相似文献
960.
We give an introduction to basic harmonic analysis and representation theory for homogeneous spaces Z = G/H attached to a real reductive Lie group G. A special emphasis is made to the case where Z is real spherical. 相似文献