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.


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

Table of 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


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© 2008
Academic Press
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About the authors

Henning Harmuth

Affiliations and Expertise

Retired, The Catholic University of America, Washington, DC, USA

Beate Meffert

Affiliations and Expertise

Humboldt University, Berlin, Germany