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| ADVANCES IN IMAGING AND ELECTRON PHYSICS, 154
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Dirac's Difference Equation and the Physics of Finite Differences
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By
Henning Harmuth, Retired, The Catholic University of America, Washington, DC, USA
Peter Hawkes, CEMES/Laboratoire d'Optique Electronique du Centre National de la Recherche Scientifique, Toulouse, France
Beate Meffert, Humboldt University, Berlin, Germany
Included in series
Advances in Imaging and Electron Physics,
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.
Audience
Physicists, electrical engineers and applied mathematicians in all branches of image processing and microscopy as well as electron physics in general
Contents
Preface
Future Contributions
Dedication
Foreword
List of Frequently Used Symbols
1. Introduction
2. Modified Dirac Equation
3. Inhomogeneous
Dirac Difference Equation
4. Dirac Difference Equation in Spherical Coordinates
5. Inhomogeneous Equations for Coulomb Potential
6. Appendix
References and Bibliography
Index
| Bibliographic details |
Hardbound, 336 pages, publication date: NOV-2008
ISBN-13: 978-0-12-374221-6
Imprint: ACADEMIC PRESS
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EUR 153.95
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Last update: 24 Sep 2009
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