[PDF] Top 20 sigma09-011. 202KB Jun 04 2011 12:10:23 AM

... A classification of integrable (2+1)-dimensional two-component Hamiltonian hydrodynamic- type systems (10) was obtained in [1] using the method of hydrodynamic reductions. In this paper, we use dispersionless Lax ... Lihat dokumen lengkap

... covariant coordinates, a natural gauge covariant tensorial form stemming from the existence of a canonical gauge invariant connection in the present NC framework, as we will recall in a while (see [26, 15]). The 2nd and ... Lihat dokumen lengkap

... classical trajectories are expressed analytically into Jacobi elliptic functions. In this case, the amplitude of oscillations grows linearly with time, but this does not represent a disaster as the trajectories do not ... Lihat dokumen lengkap

... [13] R¨osler M., Dunkl operators: theory and applications, in Orthogonal Polynomials and Special Functions Leuven, 2002,Lecture Notes in Math., Vol.. [14] Stempak K., Torrea J.L., Poisso[r] ... Lihat dokumen lengkap

... Unfortunately, the method, used in previous Chapter for the quantization of S , does not apply to the whole space T . Though we still can embed T into the Siegel disc D , we are not able to construct a projective action ... Lihat dokumen lengkap

... The classification theorem [1, Theorem 13.2] states that there exist simple finite Lie pseudoalgebras which are not isomorphic to current pseudoalgebras over ordinary simple finite-dimen[r] ... Lihat dokumen lengkap

... Sections 3, 4, and 5, respectively. Among other results, we establish the PBW properties as men- tioned earlier and construct Verma-like representations of the three algebras via Dunkl operators. Note in particular that ... Lihat dokumen lengkap

... (1 ≤ i ≤ n) a shifted singular polynomial. In Theorem 4 below we prove that the space of shifted singular polynomials is isomorphic to that of singular polynomials as C S n -modules, and it has a basis consisting of ... Lihat dokumen lengkap

... On the contrary, we have a traditional approach to the microscopic theory of collective motion, the TDHF theory (TDHFT) and TDHB theory (TDHBT), e.g., [19, 20]. The pioneering idea of the TDHFT was suggested by Marumori ... Lihat dokumen lengkap

... root system R + and a non negative multiplicity function k, introduced by C.F. Dunkl in [9] and called Dunkl operators (see next section). These operators can be regarded as a generalization of partial derivatives and ... Lihat dokumen lengkap

... this is exactly the necessary and sufficient condition that ∆(ln λ)/λ = c where c is a constant. Koenigs [19] employed condition (6) to show that the only spaces admitting at least 6 li- nearly independent constants of ... Lihat dokumen lengkap

... recent papers dealing with the spectral theory of difference (and differential) operators with complex coefficients see [14, 15, 16, 17, 18]. Fur further reading on the spectral theory of the Jacobi difference equation ... Lihat dokumen lengkap

... As it is well known, Painlev´e equations possess B¨ acklund transformations; that is, mappings between solutions of the same Painlev´e equation or between solutions of a particular Painlev´e equation and other ... Lihat dokumen lengkap

... In Section4, in order to determine the uniform subgroups ofG4×R, we study a more general class when G is a connected, simply connected, nilpotent Lie group with an Abelian factor, that i[r] ... Lihat dokumen lengkap

... of Karasev, Weinstein and Zakrzewski [35], studied extensively in the context of symplectic (i.e. not necessarily Hermitian, or even Riemannian) symmetric spaces by Bieliavsky, Pevzner, Gutt, and other authors, see e.g. ... Lihat dokumen lengkap

... The paraquaternionic structures arise in a natural way in theoretical physics, both in string theory and integrable systems [11, 12, 17, 31]. The counterpart in odd dimension of a paraquater- nionic structure was ... Lihat dokumen lengkap

... [9, 10, 11] do not impose separability, which is a strong constraint that leads to non-polynomiality of F ...[22, 23] is that we allow derivatives of the wave- function in F, and also study nonlinearities ... Lihat dokumen lengkap

... Our aim in this paper is to construct and investigate a discrete version of problem (1.8), (1.9). Discrete equations (difference equations) form a reach field, both interesting and useful [6, 7]. Discrete equations arise ... Lihat dokumen lengkap

... In the 3HS formulation of quantum physics we may start building phenomenological models inside any item of the triplet H (F,S,T) . Still, in a way noticed in [20] and worked out in [9] this freedom may be lost when one ... Lihat dokumen lengkap

... Using the second Drinfeld formulation of the quantized universal enveloping algebra Uqslc2 we introduce a family of its Heisenberg-type elements which are endowed with a deformed commuta[r] ... Lihat dokumen lengkap