[PDF] Top 20 sigma09-055. 312KB Jun 04 2011 12:10:27 AM

... This can proved by inverting the transformation in (4.2) using the elliptic matrix inversion of [22, Equation (3.5); r = 1]. Since the explicit form of the elliptic extension of the multivariate matrix inversion of ... Lihat dokumen lengkap

... The theory of scattering by partially ordered, atomic or molecular, structures in terms of paracrystals and lattice convolutions was formulated by Hosemann and Bagchi in [121] using basic techniques of Fourier analysis ... Lihat dokumen lengkap

... In the theory of Jack and Macdonald polynomials [14], certain explicit kernel functions play crucial roles in eigenfunction expansions and integral representations. Recently, kernel functions in this sense have been ... Lihat dokumen lengkap

... The aim of this paper is to show that it is possible to tackle the problem of quantizing an extension of the PU oscillator within a Lagrangian and a canonical ormulation, using complex canonical transformations and ... Lihat dokumen lengkap

... The scalar product of the state vectors (14) and (16) may be evaluated directly by means of the commutation relations (10) with the help of Laplace formula for the determinant of the sum of two matrices. It also ... Lihat dokumen lengkap

... The partial sums of two quartic basic hypergeometric series are investigated by means of the modified Abel lemma on summation by parts.. Several summation and transformation formulae are[r] ... Lihat dokumen lengkap

... At this point we would like to mention that a close relative of the kernel S (g; x, y) has appeared in the literature before, a fact we only recently became aware of. Indeed, it can be tied in with the kernel that can be ... Lihat dokumen lengkap

... all w except w = κ c or those for which X(w) is smooth, should admit a real pattern of some sort. While this may be true, consider the following example: n = d = 4, so s = 1, and w = s (12) w s . Then w consists ... Lihat dokumen lengkap

... 2 The chemical potential and the sign problem Perturbation theory can be used to calculate the one-loop free energy density fq of quarks in d+1 dimensions in the fundamental representa[r] ... 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

... a 12 6 = 0, essentially a two- dimensional vector space. Since B 1 and a 12 are invariant under St¨ackel transformations and the equations for the symmetries and the metric λ depend only on these variables, ... Lihat dokumen lengkap

... ]. So, various techniques of classical mechanics are useful and then canonical quantization is expected. By solving the equation of collective path, one can obtain some corrections to the TDHF result. The TDHFT has a ... 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

... 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

... In [16], the second author initiated a program of constructing the so-called spin Hecke alge- bras associated to Weyl groups with nontrivial 2-cocycles, by introducing the spin affine Hecke algebra as well as the ... Lihat dokumen lengkap

... [9, 10] that the simplest NC ϕ 4 model, (ϕ real-valued) on the 4-dimensional Moyal space is not renormalisable due to the Ultraviolet/Infrared (UV/IR) mixing [9, 10, ... Lihat dokumen lengkap

... into the linear heat equation [1, 2, 3]. This extends to a corresponding relation between the Burgers hierarchy and the linear heat hierarchy, and moreover to their matrix generalizations. The Cole–Hopf transformation ... 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

... This looks like a paradox but its essence is sufficiently clearly illustrated by our example where, due to its simplicity, all the one-to-one correspondence between the variations of ob- servables and the metric is ... Lihat dokumen lengkap

... We are interested in both finite, and infinite sequences, extending our previous results in [5, 6]. In this paper we concentrate on the p-integrable case with 1 < p < ∞. The extremes p = 1 or p = ∞ seem to require ... Lihat dokumen lengkap