Appparently this is a very messy problem. I used google (compton scattering bound electrons) and got a lot of hits (including your question). There does not seem to be any neat solution. Many of the articles were for particular elements.

Compton Scattering from bound electrons

High School Interesting paper on QM in Scientific American

Undergrad ##r-##independent angular momentum in quantum mechanics

High School Seemingly odd quantum tunneling

Graduate Exact symmetry, quantum states, and symmetric dynamics

Undergrad What empirical observation supports the axiom of continuous spacetime?

Graduate Avalanche photon detectors

Undergrad A Dataset & Signal Analysis Interpretation of Quantum Mechanics

High School Two/three photon absorption chemical substance producing photons for electricity generation

Insights Revisiting the Velocity-Time Function

Insights Remote Operated Gate Control System

Insights AI Enriched Problem Solving

Insights Thinking Outside The Box Versus Knowing What’s In The Box

Insights Why Entangled Photon-Polarization Qubits Violate Bell’s Inequality

Insights Quantum Entanglement is a Kinematic Fact, not a Dynamical Effect

Compton Scattering from bound electrons

Similar threads