General Relativity and Quantum Mechanics: Towards a Generalization of the Lambert W Function
Abstract
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.
Cite
@article{arxiv.math-ph/0607011,
title = {General Relativity and Quantum Mechanics: Towards a Generalization of the Lambert W Function},
author = {Tony C. Scott and Robert B. Mann},
journal= {arXiv preprint arXiv:math-ph/0607011},
year = {2007}
}
Comments
V1: A generalization to the Lambert W function is suggested with applications to quantum chemistry and general relativity. V2: Changed content/authors, references removed