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...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
London : Singapore ; Hackesack, NJ :
Imperial College Press ; World Scientific Publishers [distributor],
2012.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | 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. |
| Beschreibung: | 1 online resource (xiii, 201 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 195-198) and index. |
| ISBN: | 9781848167988 1848167989 |
Internformat
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| 100 | 1 | |a Hirshfeld, Allen C. |1 https://id.oclc.org/worldcat/entity/E39PBJp69RdvYDDFvJWBRC3fbd |0 http://id.loc.gov/authorities/names/n88041307 | |
| 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 | ||
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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 | |
| 600 | 1 | 0 | |a Dirac, P. A. M. |q (Paul Adrien Maurice), |d 1902-1984. |0 http://id.loc.gov/authorities/names/n50028823 |
| 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. |0 http://id.loc.gov/authorities/subjects/sh85038246 | |
| 650 | 0 | |a Supersymmetry. |0 http://id.loc.gov/authorities/subjects/sh85130665 | |
| 650 | 0 | |a Quantum field theory. |0 http://id.loc.gov/authorities/subjects/sh85109461 | |
| 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 |
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Datensatz im Suchindex
| DE-BY-FWS_katkey | ZDB-4-EBA-ocn794571644 |
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| _version_ | 1816881796658233344 |
| adam_text | |
| any_adam_object | |
| author | Hirshfeld, Allen C. |
| author_GND | http://id.loc.gov/authorities/names/n88041307 |
| author_facet | Hirshfeld, Allen C. |
| author_role | |
| author_sort | Hirshfeld, Allen C. |
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| contents | 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 |
| ctrlnum | (OCoLC)794571644 |
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| dewey-ones | 530 - Physics |
| dewey-raw | 530.1209 |
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| id | ZDB-4-EBA-ocn794571644 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:18:25Z |
| institution | BVB |
| isbn | 9781848167988 1848167989 |
| language | English |
| oclc_num | 794571644 |
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| publisher | Imperial College Press ; World Scientific Publishers [distributor], |
| record_format | marc |
| spelling | Hirshfeld, Allen C. https://id.oclc.org/worldcat/entity/E39PBJp69RdvYDDFvJWBRC3fbd http://id.loc.gov/authorities/names/n88041307 The supersymmetric Dirac equation : the application to hydrogenic atoms / Allen Hirshfeld. London : Imperial College Press ; Singapore ; Hackesack, NJ : World Scientific Publishers [distributor], 2012. 1 online resource (xiii, 201 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Includes bibliographical references (pages 195-198) and index. Print version record. 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. 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 Dirac, P. A. M. (Paul Adrien Maurice), 1902-1984. http://id.loc.gov/authorities/names/n50028823 Dirac, P. A. M. (Paul Adrien Maurice), 1902-1984 fast https://id.oclc.org/worldcat/entity/E39PBJmhVjgFFGHMm33cyH63Qq Dirac equation. http://id.loc.gov/authorities/subjects/sh85038246 Supersymmetry. http://id.loc.gov/authorities/subjects/sh85130665 Quantum field theory. http://id.loc.gov/authorities/subjects/sh85109461 Équation de Dirac. Supersymétrie. Théorie quantique des champs. SCIENCE Physics Quantum Theory. bisacsh Dirac equation fast Quantum field theory fast Supersymmetry fast has work: The supersymmetric Dirac equation (Text) https://id.oclc.org/worldcat/entity/E39PCGvQ8RDMy346y3xkbdqMCP https://id.oclc.org/worldcat/ontology/hasWork Print version: Hirshfeld, Allen C. Supersymmetric Dirac equation. London : Imperial College Press ; Singapore ; Hackesack, NJ : World Scientific Publishers [distributors], 2012 9781848167971 (OCoLC)727703529 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=516766 Volltext |
| spellingShingle | Hirshfeld, Allen C. The supersymmetric Dirac equation : the application to hydrogenic atoms / 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 Dirac, P. A. M. (Paul Adrien Maurice), 1902-1984. http://id.loc.gov/authorities/names/n50028823 Dirac, P. A. M. (Paul Adrien Maurice), 1902-1984 fast https://id.oclc.org/worldcat/entity/E39PBJmhVjgFFGHMm33cyH63Qq Dirac equation. http://id.loc.gov/authorities/subjects/sh85038246 Supersymmetry. http://id.loc.gov/authorities/subjects/sh85130665 Quantum field theory. http://id.loc.gov/authorities/subjects/sh85109461 Équation de Dirac. Supersymétrie. Théorie quantique des champs. SCIENCE Physics Quantum Theory. bisacsh Dirac equation fast Quantum field theory fast Supersymmetry fast |
| subject_GND | http://id.loc.gov/authorities/names/n50028823 http://id.loc.gov/authorities/subjects/sh85038246 http://id.loc.gov/authorities/subjects/sh85130665 http://id.loc.gov/authorities/subjects/sh85109461 |
| title | The supersymmetric Dirac equation : the application to hydrogenic atoms / |
| title_auth | The supersymmetric Dirac equation : the application to hydrogenic atoms / |
| title_exact_search | The supersymmetric Dirac equation : the application to hydrogenic atoms / |
| title_full | The supersymmetric Dirac equation : the application to hydrogenic atoms / Allen Hirshfeld. |
| title_fullStr | The supersymmetric Dirac equation : the application to hydrogenic atoms / Allen Hirshfeld. |
| title_full_unstemmed | The supersymmetric Dirac equation : the application to hydrogenic atoms / Allen Hirshfeld. |
| title_short | The supersymmetric Dirac equation : |
| title_sort | supersymmetric dirac equation the application to hydrogenic atoms |
| title_sub | the application to hydrogenic atoms / |
| topic | Dirac, P. A. M. (Paul Adrien Maurice), 1902-1984. http://id.loc.gov/authorities/names/n50028823 Dirac, P. A. M. (Paul Adrien Maurice), 1902-1984 fast https://id.oclc.org/worldcat/entity/E39PBJmhVjgFFGHMm33cyH63Qq Dirac equation. http://id.loc.gov/authorities/subjects/sh85038246 Supersymmetry. http://id.loc.gov/authorities/subjects/sh85130665 Quantum field theory. http://id.loc.gov/authorities/subjects/sh85109461 Équation de Dirac. Supersymétrie. Théorie quantique des champs. SCIENCE Physics Quantum Theory. bisacsh Dirac equation fast Quantum field theory fast Supersymmetry fast |
| topic_facet | Dirac, P. A. M. (Paul Adrien Maurice), 1902-1984. Dirac, P. A. M. (Paul Adrien Maurice), 1902-1984 Dirac equation. Supersymmetry. Quantum field theory. Équation de Dirac. Supersymétrie. Théorie quantique des champs. SCIENCE Physics Quantum Theory. Dirac equation Quantum field theory Supersymmetry |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=516766 |
| work_keys_str_mv | AT hirshfeldallenc thesupersymmetricdiracequationtheapplicationtohydrogenicatoms AT hirshfeldallenc supersymmetricdiracequationtheapplicationtohydrogenicatoms |