[PDF] Top 20 sigma06-091. 393KB Jun 04 2011 12:09:56 AM

... For any affine Lie algebrag, we show that any finite dimensional representation of the universal dynamicalR matrix Rλ of the elliptic quantum group Bq,λg coincides with a corresponding [r] ... Lihat dokumen lengkap

... 3.2 How to manufacture explicit solutions of the system of nonlinear Schr¨odinger-like PDEs 1.1 Clearly the appropriate strategy – underlining all the examples exhibited below – is to i[r] ... Lihat dokumen lengkap

... The quantum affine algebras form an important family of quantized enveloping algebras. They were introduced by Drinfeld and Jimbo in 1985 in the general context of quantum groups and have since been studied by many ... Lihat dokumen lengkap

... The integrable lattices of the form (1) or (4) admit the very important generalization: their right hand sides may contain parameters which depend on n and define the discrete spectra added by the iterated B¨ acklund ... Lihat dokumen lengkap

... Interestingly, a similar calculation has been performed in the Spin-Hall context [36, 37, 38]. The similarity to optics [43, 44, 45, 46, 47, 48] is explained by that the three-dimensional system with Θ given in equation ... Lihat dokumen lengkap

... This leads to the concept of scalar, vector and tensor fields that transform under general coordinate transformation as follows scalar: δξφx =−ξφ, covariant vector: δξVµx =−ξVµ−∂µξρVρ,[r] ... Lihat dokumen lengkap

... Let us mention here that different definitions of coherent states have been proposed for different algebraic structures in some of the references cited. Thus, the definition we give is different by some phase (see ... Lihat dokumen lengkap

... We remark here that YBE for the R-operator (3.6) is the corollary of the properties (4.5c), (4.5d) and (4.5e) of the operators R (k) . One can expect that these equations will hold for the R matrix for the generic ... Lihat dokumen lengkap

... Key words: Christoffel–Darboux kernel; multivariable orthogonal polynomial; Pfaffian; de-terminant; correlation function; random Hermitian matrix; orthogonal polynomial ensemble; Sundqui[r] ... Lihat dokumen lengkap

... or G = SO(4, 1), one has to use the category of unitary irreps, which are infinite-dimensional and typically have discrete and continuos series. This means that one will obtain both the state sums and the state integrals ... Lihat dokumen lengkap

... In this note we show that if one takes a Lax matrix of the Kowalevskiso4 gyrostat in the symmetric form L = Yc1/2 ·L0·Yc1/2 and makes a trigonometric change of spectral parameter it rest[r] ... Lihat dokumen lengkap

... it can be easily shown that having the operator gauge invariance of EM fields strength tensor is not sufficient for Maxwell’s equations to be operator gauge invariant.. Here, we extend t[r] ... Lihat dokumen lengkap

... where ξ, η, τ and φ are functions of x, y, t and u. The method for the determination of the coefficients of the vector field V is algorithmic [12]. Applying this to (6) gives an overdetermined set of linear ... Lihat dokumen lengkap

... al. [12] measured the branching ratio of multiply charged ions formed through photoionization of Kr 3d, 3p and 3s subshells using a coincidence technique. The calculations of ion charge state distributions ... Lihat dokumen lengkap

... The Skyrme–Faddeev–Niemi (SFN) model which is an O(3) σ model in three dimensional space up to fourth-order in the first derivative has topological soliton solutions with torus or knot-like structure. The model was ... Lihat dokumen lengkap

... Key words: Lie point symmetries; partial differential equations; plasma physics 2000 Mathematics Subject Classification: 35A30; 35Q60; 22E70 1 Introduction The theory of plasma physic[r] ... Lihat dokumen lengkap

... Key words: chiral quark soliton model; Dirac operator; supersymmetry; ground state; sym-metry reduction 2000 Mathematics Subject Classification: 81Q10; 81Q05; 81Q60; 47N50 1 Introducti[r] ... Lihat dokumen lengkap

... However, as far as we know, the construction of the GKC potential on S N and H N as well as which are the corresponding SW and GKC systems on the relativistic spacetimes of constant curvature is still lacking, that is, ... Lihat dokumen lengkap

... In our previous paper [1] we found a class of quantum spin 12 XZ-type systems on the hyper-cubic lattice Zd with a Gibbsian ground state, characterized by the classical spin potential e[r] ... Lihat dokumen lengkap

... Key words: diffusion equations; equivalence transformations; linearization 2000 Mathematics Subject Classification: 35A30; 58J70; 58J72; 92B05 1 Introduction Whilst systems of pure di[r] ... Lihat dokumen lengkap