[PDF] Top 20 sigma10-095. 186KB Jun 04 2011 12:10:46 AM

... Key words: second Painlev´e equation; rational solutions; power series expansion; irrational roots; Yablonskii–Vorob’ev polynomials 2010 Mathematics Subject Classification: 34M55 1 Int[r] ... Lihat dokumen lengkap

... Considering this new scenario, Perlick managed to find a classification of the pair of functions (f(r); V (r)) admitting stable closed orbit property [9]. This classification is indeed the most general [11] and it ... Lihat dokumen lengkap

... In [9] and [10] some physical examples arising from quantum mechanics have been discussed. In particular, these examples have suggested the introduction of a difference between what we have called regular ... Lihat dokumen lengkap

... The author would like to thank A.I. Molev and the referees for valuable comments and sugges- tions that allowed to simplify significantly the formulas and to improve the text of the paper. The travel to RAQIS’10 ... Lihat dokumen lengkap

... SU (2) and SU (3) cases, without relying too much on the not so well-known formalism and terminology of spiders, since these graphical models provide a convenient framework to dis- cuss Kuperberg equations together with ... Lihat dokumen lengkap

... Classical and quantum systems mentioned in the above, are common in methods of their analysis. The dynamics of stochastic systems is described by the Fokker–Planck equation (FP) [9, 10]. One of the methods for ... Lihat dokumen lengkap

... supersymmetric extension of such Hamiltonians, and naturally extend the supercoherent states approach to such pseudo-Hermitian supersymmetric systems. The Hermitian version of such Hamiltonians has been widely used in ... Lihat dokumen lengkap

... The problem of computing correlation functions is one of the most challenging problem in the field of quantum integrable models, starting from the establishment of the Bethe ansatz method in [1]. For the models where ... Lihat dokumen lengkap

... Theory of the so-called PT -symmetric Hamiltonians has been a very active research area in recent years [1, 2, 3, 5, 7, 8, 9, 10, 13]. While they are not self-adjoint in general, many PT - symmetric Hamiltonians ... Lihat dokumen lengkap

... B¨ acklund transformations are a prominent tool in the theory of integrable systems and soliton theory. Historically they appeared first in the works of Bianchi [1] and B¨ acklund [2] on surfaces of constant curvature ... Lihat dokumen lengkap

... Abel–Jacobi map, Jacobi inversion modified Kerov–Kirillov–Reshetikhin bijection Riemann theta function charge of extended rigged configuration Here the Kerov–Kirillov–Reshetikhin KKR b[r] ... Lihat dokumen lengkap

... Cluster algebras [9] are another form of discrete dynamical systems. They describe a specific type of evolution, called mutation, of a set of variables or cluster seed. Mutations are rational, subtraction-free ... Lihat dokumen lengkap

... is not a simple task, but it is possible to show that all the possibilities arising from the energy sum rule are obtained for the different limits (see [16] for details; the model is different but the equations are the ... Lihat dokumen lengkap

... Since NC geometry turns out to be useful tool for reformulation and investigation of some problems in classical and quantum mechanics [10, 11, 12, 12, 14, 15, 16] as well as in QFT [17], there are ... Lihat dokumen lengkap

... Using thisZ-algebra we describe Hermitian irreducible representations of a discrete series for the noncompact quantum algebraUqun,1 which is a real form of Uqgln+ 1, namely, an orthono[r] ... Lihat dokumen lengkap

... In this paper we present the bi-Hamiltonian formulation and recursion operator for the new equation. These results have been obtained during the study of the so called supersymmetric Manin–Radul hierarchy. The ... Lihat dokumen lengkap

... [30, 25, 10, 29] and is compounded of principal, complementary, and discrete series. Note that the de Sitter group has no unitary irreducible representation (UIR) analogous to the so-called “massless infinite ... Lihat dokumen lengkap

... Previously, the main attention was given to Landau problem in 2-dimensional case: many important mathematical and physical results were obtained, see in [1, 5, 6, 8, 9, 12, 17, 19]. Com- prehensive discussion of ... Lihat dokumen lengkap

... where we assume r, s ∈ N , r + s odd, and ω 1 , ω 2 > 0. This type of Hamiltonians, which represent a natural generalization of the quantum Henon–Heiles model, has been studied also in [11, 12]. We will analyze ... Lihat dokumen lengkap

... Whereas there are standard methods to solve linear ordinary differential equations (ODEs), there are hardly any for nonlinear ODEs. One could, of course, approximate the nonlinear ODE by a linear one (as in perturbation ... Lihat dokumen lengkap