%0 Journal Article
%A Scott, Tony C.
%A Mann, Robert
%A Martinez II, Roberto E.
%T General relativity and quantum mechanics: towards a generalization of the Lambert W function A Generalization of the Lambert W Function
%J Applicable algebra in engineering, communication and computing
%V 17
%N 1
%@ 1432-0622
%C Berlin
%I Springer
%M FZJ-2016-04112
%P 41 - 47
%D 2006
%X 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. This generalization expresses the exact solutions for general-relativistic self-gravitating N-body systems in one spatial and one time dimension, and a previously unknown mathematical link between the (1+1) gravity problem and the Schrödinger wave equation.
%F PUB:(DE-HGF)16
%9 Journal Article
%U <Go to ISI:>//WOS:000236501900004
%R 10.1007/s00200-006-0196-1
%U https://juser.fz-juelich.de/record/811745