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The magnetic dipole in undulatory mechanics

Epstein, Paul S. (1927) The magnetic dipole in undulatory mechanics. Proceedings of the National Academy of Sciences of the United States of America, 13 (4). pp. 232-237. ISSN 0027-8424. doi:10.1073/pnas.13.4.232. https://resolver.caltech.edu/CaltechAUTHORS:EPSpnas27a

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Abstract

In the following lines we present a method for the computation of the characteristic values of the parameter contained in linear differential equations. This method is applicable in certain cases when the equation cannot be reduced to the hypergeometric type. As the special example with which to illustrate our procedure we select the motion of an electron in the combined fields of a nucleus and of a magnetic dipole attached to this nucleus. This problem has an interesting bearing on the theory of the spinning electron, as will be fully discussed in section 6.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1073/pnas.13.4.232DOIUNSPECIFIED
Additional Information:© 1927 by the National Academy of Sciences. Communicated March 7, 1927.
Issue or Number:4
DOI:10.1073/pnas.13.4.232
Record Number:CaltechAUTHORS:EPSpnas27a
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:EPSpnas27a
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:7652
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:20 Mar 2007
Last Modified:08 Nov 2021 20:44

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