Potential scattering in the eikonal approximation. II
F. W. Byron, C. J. Joachain, E. H. Mund
Abstract
F. W. Byron, C. J. Joachain, E. H. Mund
Abstract
A systematic study is made of several properties of the eikonal approximation and related methods. We first discuss various corrections to the eikonal approximation, in particular the eikonal-Born series method and the eikonal expansion of Wallace. We then show that the eikonal approximation satisfies unitarity in a very special way. Finally, we analyze in detail the very-strong-coupling situation. We show that in this case, and if the incident wave number is sufficiently large, the eikonal approximation yields excellent results for small-angle scattering.
OpenAlex reports 19 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
A systematic study is made of several properties of the eikonal approximation and related methods. We first discuss various corrections to the eikonal approximation, in particular the eikonal-Born series method and the eikonal expansion of Wallace. We then show that the eikonal approximation satisfies unitarity in a very special way. Finally, we analyze in detail the very-strong-coupling situation. We show that in this case, and if the incident wave number is sufficiently large, the eikonal approximation yields excellent results for small-angle scattering.
Key concepts: Eikonal equation, Eikonal approximation, Unitarity, Physics, Scattering, Born approximation, Quantum electrodynamics, Quantum mechanics