What is an Eikonal Factor in QED and QCD?

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In theoretical physics talks involving QED and QCD, people speak of the 'Eikonal Factor?' Generically, what's an Eikonal factor?

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The Eikonal approximation is a method for calculations involving the scattering of waves, and so it is used in many kinds of physics physics like optics/E&M, as well as quantum mechanics, and quantum field theory. The Eikonal approximation corresponds to the limit where ray optics (geometric optics) is valid, where we are mostly concerned with the change in the phase of the wave more so than it's trajectory. These topics are usually discussed in a graduate class on E&M or QM, e.g. in Jackson or Sakuai.
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. Towards the end of the first lecture for the Qiskit Global Summer School 2025, Foundations of Quantum Mechanics, Olivia Lanes (Global Lead, Content and Education IBM) stated... Source: https://www.physicsforums.com/insights/quantum-entanglement-is-a-kinematic-fact-not-a-dynamical-effect/ by @RUTA
If we release an electron around a positively charged sphere, the initial state of electron is a linear combination of Hydrogen-like states. According to quantum mechanics, evolution of time would not change this initial state because the potential is time independent. However, classically we expect the electron to collide with the sphere. So, it seems that the quantum and classics predict different behaviours!

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