General Relativity and Quantum Mechanics: Towards a Generalization of the Lambert W Function

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dc.creatorScott, Tony C.
dc.creatorMann, Robert B.
dc.date2006-07-09
dc.date2006-09-06
dc.date.accessioned2026-07-07T07:20:31Z
dc.date.available2026-07-07T07:20:31Z
dc.descriptionHerein, 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.
dc.descriptionV1: A generalization to the Lambert W function is suggested with applications to quantum chemistry and general relativity. V2: Changed content/authors, references removed
dc.identifierhttps://arxiv.org/abs/math-ph/0607011
dc.identifierhttp://arxiv.org/abs/math-ph/0607011
dc.identifierAAECC (Applicable Algebra in Engineering, Communication and Computing), vol. 16, no. 6, (2006)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/114979
dc.subjectMathematical Physics
dc.subject33E30; 83C80; 81V55
dc.titleGeneral Relativity and Quantum Mechanics: Towards a Generalization of the Lambert W Function
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