Advances in imaging and electron physics, Volume 154, Dirac's difference equation and the physics of finite differences:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam
Academic Press
2008
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| Schlagworte: | |
| Online-Zugang: | FAW01 Volltext |
| Beschreibung: | Includes bibliographical references and index 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 |
| Beschreibung: | xviii, 317 pages |
| ISBN: | 9780123742216 0123742218 |
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| 100 | 1 | |a Harmuth, Henning F. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Advances in imaging and electron physics, Volume 154, Dirac's difference equation and the physics of finite differences |c Henning F. Harmuth, Beate Meffert |
| 264 | 1 | |a Amsterdam |b Academic Press |c 2008 | |
| 300 | |a xviii, 317 pages | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 500 | |a Includes bibliographical references and index | ||
| 500 | |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 | ||
| 650 | 7 | |a Difference equations |2 fast | |
| 650 | 7 | |a Finite differences |2 fast | |
| 650 | 4 | |a Difference equations | |
| 650 | 4 | |a Finite differences | |
| 700 | 1 | |a Meffert, Beate |e Sonstige |4 oth | |
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| author | Harmuth, Henning F. |
| author_facet | Harmuth, Henning F. |
| author_role | aut |
| author_sort | Harmuth, Henning F. |
| author_variant | h f h hf hfh |
| building | Verbundindex |
| bvnumber | BV044381207 |
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| dewey-ones | 515 - Analysis |
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| dewey-search | 515/.625 |
| dewey-sort | 3515 3625 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV044381207 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:51:21Z |
| institution | BVB |
| isbn | 9780123742216 0123742218 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029783429 |
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| physical | xviii, 317 pages |
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| publishDate | 2008 |
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| publisher | Academic Press |
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| spelling | Harmuth, Henning F. Verfasser aut Advances in imaging and electron physics, Volume 154, Dirac's difference equation and the physics of finite differences Henning F. Harmuth, Beate Meffert Amsterdam Academic Press 2008 xviii, 317 pages txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references and index 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 Difference equations fast Finite differences fast Difference equations Finite differences Meffert, Beate Sonstige oth http://www.sciencedirect.com/science/bookseries/10765670/154 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Harmuth, Henning F. Advances in imaging and electron physics, Volume 154, Dirac's difference equation and the physics of finite differences Difference equations fast Finite differences fast Difference equations Finite differences |
| title | Advances in imaging and electron physics, Volume 154, Dirac's difference equation and the physics of finite differences |
| title_auth | Advances in imaging and electron physics, Volume 154, Dirac's difference equation and the physics of finite differences |
| title_exact_search | Advances in imaging and electron physics, Volume 154, Dirac's difference equation and the physics of finite differences |
| title_full | Advances in imaging and electron physics, Volume 154, Dirac's difference equation and the physics of finite differences Henning F. Harmuth, Beate Meffert |
| title_fullStr | Advances in imaging and electron physics, Volume 154, Dirac's difference equation and the physics of finite differences Henning F. Harmuth, Beate Meffert |
| title_full_unstemmed | Advances in imaging and electron physics, Volume 154, Dirac's difference equation and the physics of finite differences Henning F. Harmuth, Beate Meffert |
| title_short | Advances in imaging and electron physics, Volume 154, Dirac's difference equation and the physics of finite differences |
| title_sort | advances in imaging and electron physics volume 154 dirac s difference equation and the physics of finite differences |
| topic | Difference equations fast Finite differences fast Difference equations Finite differences |
| topic_facet | Difference equations Finite differences |
| url | http://www.sciencedirect.com/science/bookseries/10765670/154 |
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