[PDF] Top 20 sigma08-093. 240KB Jun 04 2011 12:10:21 AM

... As monogenic functions lie at the heart of Clifford analysis, it is important to have tools available to construct such functions. Two of the most important techniques are Fueter’s theo- rem (see a.o. [15, 22]) and ... Lihat dokumen lengkap

... It is nearly 3 years since the first draft of this paper was prepared, then sent away for private circulation to professional friends and colleagues. Since then it was brought to our attention that a number of ... Lihat dokumen lengkap

... In particular, we get the surprising result that spin Calogero-type integrable models built from Dunkl operators associated to the same Coxeter group can have different symmetry algebras[r] ... Lihat dokumen lengkap

... [17] R¨ osler M., Dunkl operators: theory and applications, in Orthogonal Polynomials and Special Functions (Leuven, 2002), Lecture Notes in Math., Vol. 1817, Springer, Berlin, 2003, 93–135, math.CA/0210366. [18] R¨ ... Lihat dokumen lengkap

... Key words: Dunkl intertwining operator; Dunkl transform; Dunkl Sonine transform; comp-lex powers of the Dunkl Laplacian 2000 Mathematics Subject Classification: 43A62; 43A15; 43A32 1 I[r] ... Lihat dokumen lengkap

... Here attention may drawn to the fact that for quite a long time now BNP-model (2) by Bennett–Nielsen–Picek [2] and FNT-model have been to assume that any physics beyond the SM will first appear at roughly the Planck ... Lihat dokumen lengkap

... A similar remark could have been also deduced from the older comment [21] by Bagchi and Quesne who, apparently, did not notice that the trick might lead to a singular and, hence, unacceptable P (+) in general. In ... Lihat dokumen lengkap

... In the present paper we generalize the method of [3, 10] of producing soliton equations and their U -V pairs, filling the gap described above, i.e. making the method to include all known soliton equations, and ... Lihat dokumen lengkap

... Condition 2.1 is replaced with a system of conditions [Xj, Xk] = Then for all possible choices of the Hamiltonian H the time evolution the Heisenberg picture has the linearity property[r] ... Lihat dokumen lengkap

... | Φ i = (φ + φ µ α µ † + φ µν α µ † α † ν + φ µνρ α † µ α † ν α † ρ + · · · ) | 0 i . (2.3) This yields a concrete calculational scheme and one could hope to be able to rig some kind of kinetic operator K which when ... Lihat dokumen lengkap

... [11, 12, 13], Nasiri [9] has shown that in the Wigner representation of phase space quantum mechanics [14] the quantum potential is removed from the dynamical equation of a particle in linear and harmonic ... Lihat dokumen lengkap

... We have seen how a non trivial example of two-dimensional PB arises from the Hamiltonian of the Landau levels. We want to stress once again that this is deeply different from what we have done in [10], where the ... Lihat dokumen lengkap

... Unfortunately, only in two dimensions the first Frenet curvature taken as the Lagrange function produces, due to its linearity in second derivatives, athird order equation.. In Section3.[r] ... Lihat dokumen lengkap

... Understanding a unitary representation π of a Lie groups G often involves understanding its restriction to suitable subgroups H. This is in physics referred to as breaking the symmetry, and often means exhibiting a nice ... Lihat dokumen lengkap

... Our aim in this paper is to obtain such uniform estimates. These estimates constitute a the main step towards a rigorous understanding of the metastable behavior of infinite dimensional systems, i.e. stochastic partial ... Lihat dokumen lengkap

... Here we recall some properties of homogeneous spaces with positive Euler characteristic (see, for example, [21] or [4]). A homogeneous space M = G/H of a compact connected Lie group G has positive Euler ... Lihat dokumen lengkap

... In the present paper, some characteristic examples of the symmetries are presented for var-ious plasma theory models: electron magnetohydrodynamics, collisionless electron plasma os-cill[r] ... Lihat dokumen lengkap

... Another archetypal example is the case of complex projective space CP N , also compact K¨ ahler quantisable. When N = 1 this reverts to the case of the Riemann sphere studied in [12]. Since this space is SU (N + ... Lihat dokumen lengkap

... Sobolev and Hardy type inequalities play an important role in many areas of mathematics and mathematical physics. They have become standard tools in existence and regularity theories for solutions to partial differential ... Lihat dokumen lengkap

... Ifλis anintegral element, then the corresponding E-orbit function Eλx is symmetric also with respect to elements of the affine Weyl groupWeaff, corresponding to the groupWein fact, the[r] ... Lihat dokumen lengkap