The Poincaré Lemma and an Elementary Construction of Vector Potentials

Author: Yap Shirley Llamado  

Publisher: Mathematical Association of America

ISSN: 1930-0972

Source: American Mathematical Monthly, Vol.116, Iss.3, 2009-03, pp. : 261-267

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Abstract

The Poincare lemma guarantees that every conservative force field F defined on Rn is the differential of a potential field. In this paper, we provide an elementary construction of such potential fields.