Advances in Imaging and Electron Physics

Dirac's Difference Equation and the Physics of Finite Differences

Nonfiction, Science & Nature, Technology, Electronics, Engineering, Computers, General Computing
Cover of the book Advances in Imaging and Electron Physics by Henning Harmuth, Beate Meffert, Peter W. Hawkes, Elsevier Science
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Author: Henning Harmuth, Beate Meffert, Peter W. Hawkes ISBN: 9780080880365
Publisher: Elsevier Science Publication: June 12, 2009
Imprint: Academic Press Language: English
Author: Henning Harmuth, Beate Meffert, Peter W. Hawkes
ISBN: 9780080880365
Publisher: Elsevier Science
Publication: June 12, 2009
Imprint: Academic Press
Language: English

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.

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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.

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