Journal Article

FZJ-2016-04112

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png General relativity and quantum mechanics: towards a generalization of the Lambert W function A Generalization of the Lambert W Function

Scott, T. C. (Corresponding author) ; Mann, R. ; Martinez II, R. E.

2006
Springer Berlin

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Please use a persistent id in citations: doi:10.1007/s00200-006-0196-1

Abstract: 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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Contributing Institute(s):

1. Zentralinstitut für Angewandte Mathematik (ZAM)
2. Jülich Supercomputing Center (JSC)

Research Program(s):

1. 899 - ohne Topic (POF3-899) (POF3-899)

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Database coverage:
Current Contents - Engineering, Computing and Technology ; IF < 5 ; JCR ; Nationallizenz ; SCOPUS ; Science Citation Index Expanded ; Thomson Reuters Master Journal List ; Web of Science Core Collection

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