2006/07/31 by Tony C. Scott, Robert B. Mann · 1 citation
Mathematics · Physics and Astronomy · #math-ph #math.MP #msc:33E30 #msc:81V55 #msc:83C80
published as AAECC (Applicable Algebra in Engineering, Communication and Computing), vol. 16, no. 6, (2006) · V1: A generalization to the Lambert W function is suggested with applications to quantum chemistry and general relativity. V2: Changed content/authors, references removed
arxiv created 2006/09/06 · arxiv updated 2009/12/01
Herein, we present a canonical form for a natural and necessary generalization of the Lambert W function, natural in that it requires minimal mathematical definitions for this generalization, and necessary in that it provides a means of expressing solutions to a number of physical problems of fundamental nature. In particular, this generalization expresses the exact solutions for general-relativistic self-gravitating 2-body and 3-body systems in one spatial and one time dimension. It also expresses the solution to a previously unknown mathematical link between the lineal gravity problem and the Schroedinger equation.