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The Dirac Electron in Simple Fields

Plesset, Milton S. (1932) The Dirac Electron in Simple Fields. Physical Review, 41 (3). pp. 278-290. ISSN 0031-899X. http://resolver.caltech.edu/CaltechAUTHORS:PLEpr32

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Abstract

The relativity wave equations for the Dirac electron are transformed in a simple manner into a symmetric canonical form. This canonical form makes readily possible the investigation of the characteristics of the solutions of these relativity equations for simple potential fields. If the potential is a polynomial of any degree in x, a continuous energy spectrum characterizes the solutions. If the potential is a polynomial of any degree in 1/x, the solutions possess a continuous energy spectrum when the energy is numerically greater than the rest-energy of the electron; values of the energy numerically less than the rest-energy are barred. When the potential is a polynomial of any degree in r, all values of the energy are allowed. For potentials which are polynomials in 1/r of degree higher than the first, the energy spectrum is again continuous. The quantization arising for the Coulomb potential is an exceptional case.


Item Type:Article
Additional Information:©1932 The American Physical Society Received 6 June 1932 In conclusion the writer takes pleasure in expressing his appreciation to Professor Page for his kind interest in this work.
Record Number:CaltechAUTHORS:PLEpr32
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:PLEpr32
Alternative URL:http://dx.doi.org/10.1103/PhysRev.41.278
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:1751
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:16 Feb 2006
Last Modified:26 Dec 2012 08:45

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