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The supersymmetric Dirac equation : the application to hydrogenic atoms /
The solution of the Dirac equation for an electron in a Coulomb field is systematically treated here by utilizing new insights provided by supersymmetry. It is shown that each of the concepts has its analogue in the non-relativistic case. Indeed, the non-relativistic case is developed first, in orde...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
London : Singapore ; Hackesack, NJ :
Imperial College Press ; World Scientific Publishers [distributor],
2012.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 049 | |a UAMI | ||
| 100 | 1 | |a Hirshfeld, Allen C. | |
| 245 | 1 | 4 | |a The supersymmetric Dirac equation : |b the application to hydrogenic atoms / |c Allen Hirshfeld. |
| 260 | |a London : |b Imperial College Press ; |a Singapore ; |a Hackesack, NJ : |b World Scientific Publishers [distributor], |c 2012. | ||
| 300 | |a 1 online resource (xiii, 201 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 504 | |a Includes bibliographical references (pages 195-198) and index. | ||
| 588 | 0 | |a Print version record. | |
| 520 | |a The solution of the Dirac equation for an electron in a Coulomb field is systematically treated here by utilizing new insights provided by supersymmetry. It is shown that each of the concepts has its analogue in the non-relativistic case. Indeed, the non-relativistic case is developed first, in order to introduce the new concepts in a familiar context. The symmetry of the non-relativistic model is already present in the classical limit, so the classical Kepler problem is first discussed in order to bring out the role played by the Laplace vector, one of the central concepts of the whole book. | ||
| 505 | 0 | |a 1. Introduction -- 2. The classical Kepler problem. 2.1. Central Forces. 2.2. The Laplace vector -- 3. Symmetry of the classical problem. 3.1. Lie groups and Lie algebras. 3.2. Some special Lie algebras. 3.3. Poisson brackets. 3.4. The inverse square law -- 4. From solar systems to atoms. 4.1. Rutherford scattering. 4.2. Conservation of the Laplace vector. 4.3. The differential cross section -- 5. The Bohr model. 5.1. Spectroscopic series. 5.2. The postulates of the model. 5.3. The predictions of the model. 5.4. Correction for finite nuclear mass -- 6. Interpretation of the quantum rules. 6.1. The Sommerfeld-Wilson quantization conditions. 6.2. de Broglie's wave interpretation -- 7. Sommerfeld's model for non-relativistic electrons. 7.1. Assumptions of the model. 7.2. Results of the model for non-relativistic hydrogen atoms. 7.3. The eccentricity -- 8. Quantum mechanics of hydrogenic atoms. 8.1. Quantization. 8.2. Quantum mechanical relation between | |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 600 | 1 | 0 | |a Dirac, P. A. M. |q (Paul Adrien Maurice), |d 1902-1984. |
| 600 | 1 | 7 | |a Dirac, P. A. M. |q (Paul Adrien Maurice), |d 1902-1984 |2 fast |1 https://id.oclc.org/worldcat/entity/E39PBJmhVjgFFGHMm33cyH63Qq |
| 650 | 0 | |a Dirac equation. | |
| 650 | 0 | |a Supersymmetry. | |
| 650 | 0 | |a Quantum field theory. | |
| 650 | 6 | |a Équation de Dirac. | |
| 650 | 6 | |a Supersymétrie. | |
| 650 | 6 | |a Théorie quantique des champs. | |
| 650 | 7 | |a SCIENCE |x Physics |x Quantum Theory. |2 bisacsh | |
| 650 | 7 | |a Dirac equation |2 fast | |
| 650 | 7 | |a Quantum field theory |2 fast | |
| 650 | 7 | |a Supersymmetry |2 fast | |
| 758 | |i has work: |a The supersymmetric Dirac equation (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGvQ8RDMy346y3xkbdqMCP |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Hirshfeld, Allen C. |t Supersymmetric Dirac equation. |d London : Imperial College Press ; Singapore ; Hackesack, NJ : World Scientific Publishers [distributors], 2012 |z 9781848167971 |w (OCoLC)727703529 |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=846118 |z Texto completo |
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