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The derivation of electromagnetic fields from a basic wave-function

Bateman, H. and Ehrenfest, P. (1924) The derivation of electromagnetic fields from a basic wave-function. Proceedings of the National Academy of Sciences of the United States of America, 10 (9). pp. 369-374. ISSN 0027-8424. http://resolver.caltech.edu/CaltechAUTHORS:BATpnas24

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Abstract

1. Derivation of a Logarithmic Wave Function. - Electromagnetic fields may be derived from wave-functions in at least two ways that are analytically distinct. In the first place four wave-functions satisfying a divergence relation may be chosen as the components of a 4-vector and field-vectors derived from these four electromagnetic potentials in the usual way. The four potentials may in their turn be derived by differential operations from the components of a 6-vector whose components may be taken to be any six wave-functions. This method is a generalization of the well-known methods of Fitzgerald and Hertz;(1) it has the disadvantage that the wave-functions cannot be chosen arbitrarily if magnetic poles are to be excluded.


Item Type:Article
Additional Information:© 1924 by the National Academy of Sciences. Communicated July 10, 1924.
Record Number:CaltechAUTHORS:BATpnas24
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:BATpnas24
Alternative URL:http://www.pnas.org/cgi/reprint/10/9/369
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:9313
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:12 Dec 2007
Last Modified:26 Dec 2012 09:47

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