Equivalence of the long-wavelength approximation and the truncated Taylor expansion in relativistic Coulomb excitation

Abstract

The long-wavelength approximation and the truncated Taylor expansion are frequently used in the theory of relativistic Coulomb excitation to obtain multipole expansions of the interaction. It is shown in this note that these two approximations are exactly equivalent.

5 pages

References in corpus (2)

• Role of anharmonicities and non-linearities in heavy ion collisions. A microscopic approach
• Theory of Multiphonon Excitation in Heavy-Ion Collisions

Cited by in corpus (2)

• Comparison of exact and approximate cross-sections in relativistic Coulomb excitation
• The Semiclassical Coulomb Interaction