Advances in imaging and electron physics. Volume 154, Dirac's difference equation and the physics of finite differences /

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 a...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Harmuth, Henning F.
Otros Autores: Meffert, Beate
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Amsterdam : Academic Press, 2008.
Colección:Advances in imaging and electron physics ; 154
Temas:
Difference equations.
Finite differences.
�Equations aux diff�erences.
Diff�erences finies.
Difference equations
Finite differences
Acceso en línea:Texto completo

MARC

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082 0 4 |a 515/.625  |2 23 
100 1 |a Harmuth, Henning F. 
245 1 0 |a Advances in imaging and electron physics.  |n Volume 154,  |p Dirac's difference equation and the physics of finite differences /  |c Henning F. Harmuth, Beate Meffert. 
260 |a Amsterdam :  |b Academic Press,  |c 2008. 
300 |a 1 online resource (xviii, 317 pages) :  |b illustrations. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 0 |a Advances in imaging and electron physics ;  |v 154 
504 |a Includes bibliographical references and index. 
588 0 |a Print version record. 
520 |a 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. 
505 0 |a 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 
546 |a English. 
650 0 |a Difference equations. 
650 0 |a Finite differences. 
650 6 |a �Equations aux diff�erences.  |0 (CaQQLa)201-0001173 
650 6 |a Diff�erences finies.  |0 (CaQQLa)201-0096001 
650 7 |a Difference equations  |2 fast  |0 (OCoLC)fst00893419 
650 7 |a Finite differences  |2 fast  |0 (OCoLC)fst00924894 
700 1 |a Meffert, Beate. 
776 |z 0-12-374221-8 
856 4 0 |u https://sciencedirect.uam.elogim.com/science/book/9780123742216  |z Texto completo 

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