| Description |
1 online resource (xviii, 317 pages) : illustrations. |
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text txt rdacontent |
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computer c rdamedia |
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online resource cr rdacarrier |
| Series |
Advances in imaging and electron physics ; 154
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| Bibliography |
Includes bibliographical references and index. |
| Note |
Print version record. |
| Summary |
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. |
| Contents |
Front Cover; Dirac's Difference Equation and the Physics of Finite Differences; Copyright Page; Contents; Preface; Future contributions; Foreword; List of frequently used symbols; Chapter 1. Introduction; 1.1 Maxwell's Equations with Magnetic Dipole Currents; 1.2 Lagrange Function; 1.3 Basic Concepts of the Calculus of Finite Differences; 1.4 Finite Differences and Spatial Dimensions; 1.5 Curved Space in a Difference Theory; Chapter 2. Modified Dirac Equation; 2.1 Differential Equation with Magnetic Current Density; 2.2 Modified Dirac Difference Equation |
| Language |
English. |
| Subject |
Difference equations.
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Finite differences.
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Équations aux différences.
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Différences finies.
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Difference equations
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Finite differences
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| Added Author |
Meffert, Beate.
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| Other Form: |
0-12-374221-8 |
| ISBN |
9780123742216 (electronic bk.) |
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0123742218 (electronic bk.) |
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9786612257650 |
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6612257652 |
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0080880363 |
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9780080880365 |
| Standard No. |
CHBIS 010355195 |
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CHVBK 329740342 |
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DEBSZ 405330243 |
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AU@ 000072994771 |
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AU@ 000073102569 |
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