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Advances in Imaging and Electron Physics - 1st Edition - ISBN: 9780123742216, 9780080880365

Advances in Imaging and Electron Physics, Volume 154

1st Edition

Dirac's Difference Equation and the Physics of Finite Differences

Authors: Henning Harmuth Beate Meffert
Serial Editor: Peter Hawkes
Hardcover ISBN: 9780123742216
eBook ISBN: 9780080880365
Paperback ISBN: 9780323284332
Imprint: Academic Press
Published Date: 7th November 2008
Page Count: 336
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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


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.

Readership

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


Details

No. of pages:
336
Language:
English
Copyright:
© Academic Press 2008
Published:
7th November 2008
Imprint:
Academic Press
Hardcover ISBN:
9780123742216
eBook ISBN:
9780080880365
Paperback ISBN:
9780323284332

Ratings and Reviews


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

About the Serial Editor

Peter Hawkes

Peter Hawkes

Professor Peter Hawkes obtained his M.A. and Ph.D (and later, Sc.D.) from the University of Cambridge, where he subsequently held Fellowships of Peter House and of Churchill College. From 1959 – 1975, he worked in the electron microscope section of the Cavendish Laboratory in Cambridge, after which he joined the CNRS Laboratory of Electron Optics in Toulouse, of which he was Director in 1987. He was Founder-President of the European Microscopy Society and is a Fellow of the Optical Society of America. He is a member of the editorial boards of several microscopy journals and serial editor of Advances in Electron Optics.

Affiliations and Expertise

Laboratoire d'Optique Electronique du Centre National de la Recherche Scientifique (CEMES)