Plesset, Milton S. (1930) Relativistic Wave Mechanics of Electrons Deflected by a Magnetic Field. Physical Review, 36 (12). pp. 17281731. ISSN 0031899X. https://resolver.caltech.edu/CaltechAUTHORS:PLEpr30

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Abstract
It is shown that the relativistic wave equation for electrons in a uniform magnetic field leads to the same wave function as that already deduced by Page from the nonrelativistic equation. As in the latter case the motion at right angles to the field is quantized.An expression is found for the current density from the relativistic wave equation. The relativistic expression differs from the nonrelativistic only by a constant factor which does not affect the calculation of the mean radii of curvature of the electron current. Hence, for the relativistic case, as for the nonrelativistic, the mean radius of curvature is less than that expected on the classical theory. It follows that the classical relativistic relation between ((epsilon)/(mu)) and the mean radius of curvature upon deflection gives a value of ((epsilon)/(mu)) which is too large.
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Additional Information:  ©1930 The American Physical Society (Received 3 Nov 1930)  
Issue or Number:  12  
Record Number:  CaltechAUTHORS:PLEpr30  
Persistent URL:  https://resolver.caltech.edu/CaltechAUTHORS:PLEpr30  
Usage Policy:  No commercial reproduction, distribution, display or performance rights in this work are provided.  
ID Code:  1750  
Collection:  CaltechAUTHORS  
Deposited By:  Archive Administrator  
Deposited On:  16 Feb 2006  
Last Modified:  02 Oct 2019 22:46 
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