We present a new method for the momentum expansion of Feynman integrals with arbitrary masses and any number of loops and external momenta. By using the parametric representation we derive a generating function for the coefficients of the small momentum expansion of an arbitrary diagram. The method is applicable for the expansion w.r.t. all or a subset of external momenta. The coefficients of t...

• Since Wilkie’s result [9] (which established that the elementary theory Texp of (R, exp) is model complete and o-minimal), many o-minimal expansions of the reals have been investigated. The problem of constructing nonarchimedean models of Texp (and more generally, of an ominimal expansion of the reals) gained much interest. • In [2] it was shown that fields of generalized power series cannot ...

We study analytical properties of the Toro-Titarev solver for generalized Riemann problems (GRPs), which is the heart of the flux computation in ADER generalized Godunov schemes. In particular, we compare the Toro-Titarev solver with a local asymptotic expansion developed by LeFloch and Raviart. We show that for scalar problems the Toro-Titarev solver reproduces the truncated Taylor series expa...

A surface hopping expansion of the nonadiabatic wave function is generalized to account for hops from the forbidden region on one adiabatic energy surface to a different adiabatic surface in multidimensional problems. This analysis is motivated by previous surface hopping calculations on one dimensional models that provide very accurate transition probabilities, even at low energies, if classic...

This work develops a generalized technique for determining the static and dynamic properties of any non-collinear magnetic system. By rotating the spin operators into the local spin reference frame, we evaluate the zeroth, first, and second order terms in a Holstein-Primakoff expansion, and through a Green's functions approach, we determine the structure factor intensities for the spin-wave fre...

Polarized inclusive deep–inelastic diffractive scattering is dealt with in a quantum field theoretic approach. The process can be described in the general framework of non–forward scattering processes using the light–cone expansion in the generalized Bjorken region applying the generalized optical theorem. The diffractive structure functions g D(3) 1 and g D(3) 2 are calculated in the twist–2 a...

Analysis for the generalized thermoelastic Lamb waves, which propagates in anisotropic thin plates in generalized thermoelasticity, is presented employing normal mode expansion method. The displacement and temperature fields are expressed by a summation of the symmetric and antisymmetric thermoelastic modes in the surface thermal stresses and thermal gradient free orthotropic plate, therefore t...

Further extension of the generalized and improved (G0/G)-expansion method; Nonlinear ordinary differential equation; ZKBBM equation; Travelling wave solutions Abstract In this article, the generalized and improved (G0/G)-expansion method has been proposed for further extension to generate many new travelling wave solutions. In addition, nonlinear ordinary differential equation is implemented as...