Plesset, Milton S. (1932) The Dirac Electron in Simple Fields. Physical Review, 41 (3). pp. 278-290. ISSN 0031-899X. doi:10.1103/PhysRev.41.278. https://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 | ||||||
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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. | ||||||
Issue or Number: | 3 | ||||||
DOI: | 10.1103/PhysRev.41.278 | ||||||
Record Number: | CaltechAUTHORS:PLEpr32 | ||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:PLEpr32 | ||||||
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: | 08 Nov 2021 19:42 |
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