Invariant graphical method for electron-atom scattering coupled-channel equations

TL;DR

This paper introduces a graphical method for efficiently constructing potential matrix elements in quantum physics, demonstrated through electron-Lithium scattering, removing previous approximations and enabling broader applications.

Contribution

The paper presents a novel graphical approach for deriving potential matrix elements, including the first complete set for electron-Lithium scattering without the frozen core approximation.

Findings

Complete potential matrix elements for electron-Lithium scattering derived.

Method simplifies construction of potential matrices in quantum systems.

Removes the frozen core approximation used in prior studies.

Abstract

We present application examples of a graphical method for the efficient construction of potential matrix elements in quantum physics or quantum chemistry. The simplicity and power of this method are illustrated through several examples. In particular, a complete set of potential matrix elements for electron-Lithium scattering are derived for the first time using this method, which removes the frozen core approximation adopted by previous studies. This method can be readily adapted to study other many-body quantum systems.