What is it about?
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.
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Why is it important?
We have identified a generalization of the Lambert W function or Omega function as solutions to a large class of transcendental algebraic equations.
Perspectives
This paper defined the Generalized Lambert W function and was seminal. It not only expressed previously unknown link between General Relativity and Quantum Mechanics, it has many applications in Science and Mathematics.
Dr Tony Cyril Scott
RWTH-Aachen University
Read the Original
This page is a summary of: General relativity and quantum mechanics: towards a generalization of the Lambert W function A Generalization of the Lambert W Function, Applicable Algebra in Engineering Communication and Computing, March 2006, Springer Science + Business Media,
DOI: 10.1007/s00200-006-0196-1.
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