Advances in Imaging and Electron Physics

Dogma of the Continuum and the Calculus of Finite Differences in Quantum Physics

Series Editor:

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


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

Advances in Imaging and Electron Physics merges two long-running serials-Advances in Electronics and Electron Physics and Advances in Optical and Electron Microscopy. This series features extended articles on the physics of electron devices (especially semiconductor devices), particle optics at high and low energies, microlithography, image science and digital image processing, electromagnetic wave propagation, electron microscopy, and the computing methods used in all these domains.
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Physicists, electrical engineers and applied mathematicians in all branches of image processing and microscopy as well as electron physics in general.


Book information

  • Published: November 2005
  • ISBN: 978-0-12-014779-3

Table of Contents

DOGMA OF THE CONTINUUM AND THE CALCULUS OF FINITE DIFFERENCES IN QUANTUM PHYSICS (HARMUTH and MEFFERT) Chapter 1 - Introduction; Chapter 2 - Modified Klein-Gordon Equation; Chapter 3 - Inhomogeneous Difference Equation; Chapter 4 - Klein-Gordon Difference Equation for Small Distances; Chapter 5 - Difference Equation in Spherical Coordinates; Appendix