Advances in Imaging and Electron Physics

Dirac's Difference Equation and the Physics of Finite Differences

Advances in Imaging and Electron Physics on ScienceDirect(Opens new window)
Hardbound, 336 Pages
Published: NOV-2008
ISBN 13: 978-0-12-374221-6
Imprint: ACADEMIC PRESS


Series Editor:
Peter Hawkes, CEMES/Laboratoire d'Optique Electronique du Centre National de la Recherche Scientifique, Toulouse, France

By
Henning Harmuth, Retired, The Catholic University of America, Washington, DC, USA
Beate Meffert, Humboldt University, Berlin, Germany

Description
In this volume, the authors extend the calculus of finite differences to Dirac's equation. They obtain solutions for particles with negative mass that are completely equivalent to the solutions with positive mass. In addition, they obtain solutions for nuclear distances of the order of 10-13m and less rather than for the usual atomic distances. They report a number of other deviations from the differential theory, for instance they found a slight deviation in the eigenvalues of an electron in a Coulomb field, similar to the Lamb shift. In two sections some surprising results are shown for the concept of space caused by the replacement of dx by delta x.

Included in series
Advances in Imaging and Electron Physics

Audience:
Physicists, electrical engineers and applied mathematicians in all branches of image processing and microscopy as well as electron physics in general


 
Last update: 6 Nov 2011