Composition of physical quantities in one dimension: Group-theoretic differentiable functions

Autor:	Manuel Fernández-Guasti, Felipe Zaldívar, E. García-Martínez, J.L. del Río-Correa
Rok vydání:	2011
Předmět:	Physics Pure mathematics General Physics and Astronomy Thermodynamic system law.invention Number theory law Quantum mechanics Electrical network Differentiable function Entropy (arrow of time) Group theory Real number Physical quantity
Zdroj:	American Journal of Physics. 79:1060-1063
ISSN:	1943-2909 0002-9505
DOI:	10.1119/1.3610179
Popis:	We show that any group-theoretic differentiable operation in an open interval of real numbers is isomorphic to the usual addition of real numbers. Given the composition law, it is possible to establish the transformation relation. Alternatively, given a transformation, it is possible to obtain the composition relation in terms of the new variable. We show that some well known cases such as entropy and the relativistic addition of parallel velocities are included in this general framework. The composition rules for a wide variety of phenomena ranging from electrical circuits to thermodynamic systems are treated in a unified way.
Databáze:	OpenAIRE
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