2026-10-06T10:37:48Z https://api.figshare.com/v2/oai

oai:figshare.com:article/34027476 2026-09-29T20:49:41Z category_25267 category_25270 category_29791 category_29821 category_30229 item_type_12 month_year_09_2026

A Plane-Wave Integral Involving Associated Legendre Functions: Reopening a Cold Case with Modern AI David Thompson (4175206) Theoretical quantum chemistry Theoretical and computational chemistry not elsewhere classified Mathematical aspects of classical mechanics, quantum mechanics and quantum information theory Numerical and computational mathematics not elsewhere classified Foundations of quantum mechanics Special Functions Electronic Structure Associated Legendre Functions Large Language Models <p dir="ltr">A previously unresolved problem from my PhD is revisited and explored with Large Language Model (LLM) assistance to (i) revisit the original mathematics and (ii) develop and benchmark a robust numerical scheme. The work is motivated by the elegance found in the original approach, and the authors frustration (at the time) at being unable to utilize it as hoped for.</p> 2026-09-29T20:49:41Z Text Preprint 10.6084/m9.figshare.34027476.v1 https://figshare.com/articles/preprint/A_Plane-Wave_Integral_Involving_Associated_Legendre_Functions_Reopening_a_Cold_Case_with_Modern_AI/34027476 CC BY 4.0