By using the generating function formula for the product of two q-Hermite polynomials q-deformation of the Feynman Green function for the harmonic oscillator is obtained. PACS numbers: 03.65.Fd and 02.20.a September 1996

New variants of algebraic ctitious domain method are proposed for solution of the 3D Helmholtz and Maxwell equations in unbounded domains with the Sommerfeld radiation condition at innnity. They are based on: the use of an innnite uniform Cartesian mesh (maybe, locally tted to an obstacle) for nite-diierence or nite-element approximation; nonsymmetric version of ctitious domain method for solut...

In this contribution a recently proposed iterative procedure is used to study the BFKL gluon Green's function at next–to–leading order. This is done in QCD and in N=4 supersymmetric Yang–Mills theory. The study includes an analysis of the evolution with energy and of angular dependences. A discussion of a novel resummation of running coupling terms in the QCD case is included.

A solution to the Schrödinger equation for the nonrelativistic Green function which is used for describing the heavy quark-antiquark pair production near the threshold in e + e − annihilation is presented. A quick comparison with existing results is given. A choice of the effective mass scale for the nonrelativistic system with Coulomb interaction is discussed.

Our objective is to determine the Green function of product networks in terms of the Green function of one of the factor networks and the eigenvalues and eigenfunctions of the Schrödinger operator of the other factor network, which we consider that are known. Moreover, we use these results to obtain the Green function of spider networks in terms of Green functions over cicles and paths.

the dynamic response of the railway under accelerated moving load using dynamic green function is presented in this paper. for this purpose, an exact and direct modeling technique is introduced for the railway modeling as the damped euler-bernoulli beam on the partial winkler foundation with arbitrary boundary conditions subjected to the moving load. the effects of the elastic coefficient of wi...

We consider the first boundary-value problem in a rectangular domain for an inhomogeneous third-order equation with lower terms. The uniqueness of solution to stated is proved by method energy integrals. represented terms constructed Green function.