Wave-equation migration velocity analysis produces wrong results if it starts from an image perturbation which is not compliant with the assumed Born approximation. Earlier attempts to correct this problem lead to either unreliable or hard to implement solutions. In this paper, we present a new method designed to construct image perturbations that are always compliant with the Born approximatio...

We briefly discuss the first direct experimental evidence from LEP2 on nonvanishing trilinear couplings among the weak vector bosons. Subsequently we review the improved Born approximation to include radiative corrections. Provided the appropriate high-energy scale is used for the SU(2) gauge-coupling, the improved Born approximation is sufficiently accurate for all practical purposes at LEP2. ...

Abstract Stripping cross sections in nitrogen have been calculated using the classical trajectory approximation and the Born approximation of quantum mechanics for the outer shell electrons of 3.2GeV I− and Cs ions. A large difference in cross section, up to a factor of six, calculated in quantum mechanics and classical mechanics, has been obtained. Because at such high velocities the Born appr...

A new hybrid scattering series is derived that incorporates as special cases both the Born and Rytov scattering series, and includes a parameter so that the behavior can be continuously varied between the two series. The parameter enables the error to be shifted between the Born and Rytov error terms to improve accuracy. The linearized hybrid approximation is derived as well as its condition of...

Beyond the second-order Born approximation, we propose an improved master equation approach to quantum transport under self-consistent Born approximation. The basic idea is to replace the free Green's function in the tunneling self-energy diagram by an effective reduced propagator under the Born approximation. This simple modification has remarkable consequences. It not only recovers the exact ...

A second-order Born themy is formulaled for the description of forward electron emission from a light projectile in energetic collision with a heavy target atom. This theory is termed 'strong potential second Born theory' $82) because it accounts for electron propagation in the strong tuget potential It is evaluated for the singly inelastic contribution to electron loss, while the first Born ap...