Causality and dispersion relations /:
Causality and dispersion relations.
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York :
Academic Press,
1972.
|
| Schriftenreihe: | Mathematics in science and engineering ;
v. 95. |
| Schlagworte: | |
| Online-Zugang: | Volltext Volltext |
| Zusammenfassung: | Causality and dispersion relations. |
| Beschreibung: | 1 online resource (xii, 435 pages) : illustrations |
| Bibliographie: | Includes bibliographical references and indexes. |
| ISBN: | 9780125230506 0125230508 9780080956046 0080956041 1282288865 9781282288867 9786612288869 6612288868 |
Internformat
MARC
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| 245 | 1 | 0 | |a Causality and dispersion relations / |c H.M. Nussenzveig. |
| 260 | |a New York : |b Academic Press, |c 1972. | ||
| 300 | |a 1 online resource (xii, 435 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 490 | 1 | |a Mathematics in science and engineering ; |v v. 95 | |
| 504 | |a Includes bibliographical references and indexes. | ||
| 588 | 0 | |a Print version record. | |
| 520 | |a Causality and dispersion relations. | ||
| 505 | 0 | |a Front Cover; Causality and Dispersion Relations; Copyright Page; Contents; Preface; Part I: CAUSALITY AND ANALYTICITY; Chapter 1. Causality and Dispersion Relations; 1.1. Introduction; 1.2. The Damped Harmonic Oscillator; 1.3. Causality and Analyticity; 1.4. Light Propagation in a Dielectric Medium; 1.5. Physical Origin of Dispersion Relations; 1.6. Titchmarsh's Theorem; 1.7. Subtractions; 1.8. Dispersion Relations and Distributions; 1.9. The Kramers-Kronig Relation; 1.10. The Optical Theorem; References; Chapter 2. Partial-Wave Dispersion Relations; 2.1. Introduction | |
| 505 | 8 | |a 2.2. Classical Field: s-Wave Scattering2.3. The Causality Condition; 2.4. Analytic Continuation to I _; 2.5. Product Expansion; 2.6. Extension to Higher Angular Momenta; 2.7. Nonrelativistic Quantum Scattering; 2.8. The Schützer-Tiomno Causality Condition; 2.9. Van Kampen's Causality Condition; 2.10. The R-Function; 2.11. Wigner's Causal Inequality; 2.12. Completeness; References; Chapter 3. Dispersion Relations for the Total Scattering Amplitude; 3.1. Introduction; 3.2. Dispersion Relations for Fixed Scattering Angle; 3.3. Dispersion Relations for Fixed Momentum Transfer | |
| 505 | 8 | |a 3.4. Fxtension to Nonrelativistic Quantum ScatteringReferences; Chapter 4. Physical Interpretation of S-Matrix Singularities; 4.1. Introduction; 4.2. Effects on the Cross Section; 4.3. Complex Poles and Unstable States; 4.4. Vibrating String and Oscillator; 4.5. The Transient-Mode Propagator for the Schrüdinger Equation; 4.6. Application to an Explicit Model; References; Part II: POTENTIAL SCATTERING; Chapter 5. Analytic Properties of Partial-Wave Amplitudes; 5.1. Introduction; 5.2. The Jost Function; 5.3. Analytic Properties of the Jost Function; 5.4. The Singularities of the S-Function | |
| 505 | 8 | |a 5.5. Cutoff Potentials5.6. An Example: Square Well or Barrier; 5.7. M ittag-Leffler and Transient-Mode Expansions; 5.8. Extension to Higher Angular Momenta; References; Chapter 6. Analytic Properties of the Total Amplitude; 6.1. Introduction; 6.2. The Resolvent Operator in Banach Space; 6.3. Analytic Properties of the Total Scattering Amplitude; 6.4. High-Energy Behavior of the Scattering Amplitude; 6.5. Dispersion Relations for Fixed Momentum Transfer; 6.6. Analyticity in Momentum Transfer and Finite Range of the Interaction; References; Chapter 7. Regge Poles; 7.1. Introduction | |
| 546 | |a English. | ||
| 650 | 0 | |a Dispersion relations. |0 http://id.loc.gov/authorities/subjects/sh85038459 | |
| 650 | 0 | |a Causality (Physics) |0 http://id.loc.gov/authorities/subjects/sh85021458 | |
| 650 | 0 | |a Potential scattering. |0 http://id.loc.gov/authorities/subjects/sh85105673 | |
| 650 | 6 | |a Causalité (Physique) | |
| 650 | 6 | |a Relations de dispersion. | |
| 650 | 6 | |a Diffusion potentielle. | |
| 650 | 7 | |a TECHNOLOGY & ENGINEERING |x Power Resources |x Nuclear. |2 bisacsh | |
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| 650 | 7 | |a Potential scattering |2 fast | |
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Datensatz im Suchindex
| DE-BY-FWS_katkey | ZDB-4-EBA-ocn316566635 |
|---|---|
| _version_ | 1816881689293488128 |
| adam_text | |
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| author | Nussenzveig, H. M. (Herch Moyses) |
| author_GND | http://id.loc.gov/authorities/names/n90678347 |
| author_facet | Nussenzveig, H. M. (Herch Moyses) |
| author_role | |
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| contents | Front Cover; Causality and Dispersion Relations; Copyright Page; Contents; Preface; Part I: CAUSALITY AND ANALYTICITY; Chapter 1. Causality and Dispersion Relations; 1.1. Introduction; 1.2. The Damped Harmonic Oscillator; 1.3. Causality and Analyticity; 1.4. Light Propagation in a Dielectric Medium; 1.5. Physical Origin of Dispersion Relations; 1.6. Titchmarsh's Theorem; 1.7. Subtractions; 1.8. Dispersion Relations and Distributions; 1.9. The Kramers-Kronig Relation; 1.10. The Optical Theorem; References; Chapter 2. Partial-Wave Dispersion Relations; 2.1. Introduction 2.2. Classical Field: s-Wave Scattering2.3. The Causality Condition; 2.4. Analytic Continuation to I _; 2.5. Product Expansion; 2.6. Extension to Higher Angular Momenta; 2.7. Nonrelativistic Quantum Scattering; 2.8. The Schützer-Tiomno Causality Condition; 2.9. Van Kampen's Causality Condition; 2.10. The R-Function; 2.11. Wigner's Causal Inequality; 2.12. Completeness; References; Chapter 3. Dispersion Relations for the Total Scattering Amplitude; 3.1. Introduction; 3.2. Dispersion Relations for Fixed Scattering Angle; 3.3. Dispersion Relations for Fixed Momentum Transfer 3.4. Fxtension to Nonrelativistic Quantum ScatteringReferences; Chapter 4. Physical Interpretation of S-Matrix Singularities; 4.1. Introduction; 4.2. Effects on the Cross Section; 4.3. Complex Poles and Unstable States; 4.4. Vibrating String and Oscillator; 4.5. The Transient-Mode Propagator for the Schrüdinger Equation; 4.6. Application to an Explicit Model; References; Part II: POTENTIAL SCATTERING; Chapter 5. Analytic Properties of Partial-Wave Amplitudes; 5.1. Introduction; 5.2. The Jost Function; 5.3. Analytic Properties of the Jost Function; 5.4. The Singularities of the S-Function 5.5. Cutoff Potentials5.6. An Example: Square Well or Barrier; 5.7. M ittag-Leffler and Transient-Mode Expansions; 5.8. Extension to Higher Angular Momenta; References; Chapter 6. Analytic Properties of the Total Amplitude; 6.1. Introduction; 6.2. The Resolvent Operator in Banach Space; 6.3. Analytic Properties of the Total Scattering Amplitude; 6.4. High-Energy Behavior of the Scattering Amplitude; 6.5. Dispersion Relations for Fixed Momentum Transfer; 6.6. Analyticity in Momentum Transfer and Finite Range of the Interaction; References; Chapter 7. Regge Poles; 7.1. Introduction |
| ctrlnum | (OCoLC)316566635 |
| dewey-full | 539.7/54 |
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| dewey-ones | 539 - Modern physics |
| dewey-raw | 539.7/54 |
| dewey-search | 539.7/54 |
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| discipline | Physik |
| format | Electronic eBook |
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| indexdate | 2024-11-27T13:16:42Z |
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| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xii, 435 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 1972 |
| publishDateSearch | 1972 |
| publishDateSort | 1972 |
| publisher | Academic Press, |
| record_format | marc |
| series | Mathematics in science and engineering ; |
| series2 | Mathematics in science and engineering ; |
| spelling | Nussenzveig, H. M. (Herch Moyses) https://id.oclc.org/worldcat/entity/E39PBJqQthKfyWPMqQvTKBR7pP http://id.loc.gov/authorities/names/n90678347 Causality and dispersion relations / H.M. Nussenzveig. New York : Academic Press, 1972. 1 online resource (xii, 435 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Mathematics in science and engineering ; v. 95 Includes bibliographical references and indexes. Print version record. Causality and dispersion relations. Front Cover; Causality and Dispersion Relations; Copyright Page; Contents; Preface; Part I: CAUSALITY AND ANALYTICITY; Chapter 1. Causality and Dispersion Relations; 1.1. Introduction; 1.2. The Damped Harmonic Oscillator; 1.3. Causality and Analyticity; 1.4. Light Propagation in a Dielectric Medium; 1.5. Physical Origin of Dispersion Relations; 1.6. Titchmarsh's Theorem; 1.7. Subtractions; 1.8. Dispersion Relations and Distributions; 1.9. The Kramers-Kronig Relation; 1.10. The Optical Theorem; References; Chapter 2. Partial-Wave Dispersion Relations; 2.1. Introduction 2.2. Classical Field: s-Wave Scattering2.3. The Causality Condition; 2.4. Analytic Continuation to I _; 2.5. Product Expansion; 2.6. Extension to Higher Angular Momenta; 2.7. Nonrelativistic Quantum Scattering; 2.8. The Schützer-Tiomno Causality Condition; 2.9. Van Kampen's Causality Condition; 2.10. The R-Function; 2.11. Wigner's Causal Inequality; 2.12. Completeness; References; Chapter 3. Dispersion Relations for the Total Scattering Amplitude; 3.1. Introduction; 3.2. Dispersion Relations for Fixed Scattering Angle; 3.3. Dispersion Relations for Fixed Momentum Transfer 3.4. Fxtension to Nonrelativistic Quantum ScatteringReferences; Chapter 4. Physical Interpretation of S-Matrix Singularities; 4.1. Introduction; 4.2. Effects on the Cross Section; 4.3. Complex Poles and Unstable States; 4.4. Vibrating String and Oscillator; 4.5. The Transient-Mode Propagator for the Schrüdinger Equation; 4.6. Application to an Explicit Model; References; Part II: POTENTIAL SCATTERING; Chapter 5. Analytic Properties of Partial-Wave Amplitudes; 5.1. Introduction; 5.2. The Jost Function; 5.3. Analytic Properties of the Jost Function; 5.4. The Singularities of the S-Function 5.5. Cutoff Potentials5.6. An Example: Square Well or Barrier; 5.7. M ittag-Leffler and Transient-Mode Expansions; 5.8. Extension to Higher Angular Momenta; References; Chapter 6. Analytic Properties of the Total Amplitude; 6.1. Introduction; 6.2. The Resolvent Operator in Banach Space; 6.3. Analytic Properties of the Total Scattering Amplitude; 6.4. High-Energy Behavior of the Scattering Amplitude; 6.5. Dispersion Relations for Fixed Momentum Transfer; 6.6. Analyticity in Momentum Transfer and Finite Range of the Interaction; References; Chapter 7. Regge Poles; 7.1. Introduction English. Dispersion relations. http://id.loc.gov/authorities/subjects/sh85038459 Causality (Physics) http://id.loc.gov/authorities/subjects/sh85021458 Potential scattering. http://id.loc.gov/authorities/subjects/sh85105673 Causalité (Physique) Relations de dispersion. Diffusion potentielle. TECHNOLOGY & ENGINEERING Power Resources Nuclear. bisacsh Causality (Physics) fast Dispersion relations fast Potential scattering fast Print version: Nussenzveig, H.M. (Herch Moyses). Causality and dispersion relations. New York : Academic Press, 1972 9780125230506 (DLC) 72007685 (OCoLC)532167 Mathematics in science and engineering ; v. 95. http://id.loc.gov/authorities/names/n42015986 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=297137 Volltext FWS01 ZDB-4-EBA FWS_PDA_EBA https://www.sciencedirect.com/science/bookseries/00765392/95 Volltext |
| spellingShingle | Nussenzveig, H. M. (Herch Moyses) Causality and dispersion relations / Mathematics in science and engineering ; Front Cover; Causality and Dispersion Relations; Copyright Page; Contents; Preface; Part I: CAUSALITY AND ANALYTICITY; Chapter 1. Causality and Dispersion Relations; 1.1. Introduction; 1.2. The Damped Harmonic Oscillator; 1.3. Causality and Analyticity; 1.4. Light Propagation in a Dielectric Medium; 1.5. Physical Origin of Dispersion Relations; 1.6. Titchmarsh's Theorem; 1.7. Subtractions; 1.8. Dispersion Relations and Distributions; 1.9. The Kramers-Kronig Relation; 1.10. The Optical Theorem; References; Chapter 2. Partial-Wave Dispersion Relations; 2.1. Introduction 2.2. Classical Field: s-Wave Scattering2.3. The Causality Condition; 2.4. Analytic Continuation to I _; 2.5. Product Expansion; 2.6. Extension to Higher Angular Momenta; 2.7. Nonrelativistic Quantum Scattering; 2.8. The Schützer-Tiomno Causality Condition; 2.9. Van Kampen's Causality Condition; 2.10. The R-Function; 2.11. Wigner's Causal Inequality; 2.12. Completeness; References; Chapter 3. Dispersion Relations for the Total Scattering Amplitude; 3.1. Introduction; 3.2. Dispersion Relations for Fixed Scattering Angle; 3.3. Dispersion Relations for Fixed Momentum Transfer 3.4. Fxtension to Nonrelativistic Quantum ScatteringReferences; Chapter 4. Physical Interpretation of S-Matrix Singularities; 4.1. Introduction; 4.2. Effects on the Cross Section; 4.3. Complex Poles and Unstable States; 4.4. Vibrating String and Oscillator; 4.5. The Transient-Mode Propagator for the Schrüdinger Equation; 4.6. Application to an Explicit Model; References; Part II: POTENTIAL SCATTERING; Chapter 5. Analytic Properties of Partial-Wave Amplitudes; 5.1. Introduction; 5.2. The Jost Function; 5.3. Analytic Properties of the Jost Function; 5.4. The Singularities of the S-Function 5.5. Cutoff Potentials5.6. An Example: Square Well or Barrier; 5.7. M ittag-Leffler and Transient-Mode Expansions; 5.8. Extension to Higher Angular Momenta; References; Chapter 6. Analytic Properties of the Total Amplitude; 6.1. Introduction; 6.2. The Resolvent Operator in Banach Space; 6.3. Analytic Properties of the Total Scattering Amplitude; 6.4. High-Energy Behavior of the Scattering Amplitude; 6.5. Dispersion Relations for Fixed Momentum Transfer; 6.6. Analyticity in Momentum Transfer and Finite Range of the Interaction; References; Chapter 7. Regge Poles; 7.1. Introduction Dispersion relations. http://id.loc.gov/authorities/subjects/sh85038459 Causality (Physics) http://id.loc.gov/authorities/subjects/sh85021458 Potential scattering. http://id.loc.gov/authorities/subjects/sh85105673 Causalité (Physique) Relations de dispersion. Diffusion potentielle. TECHNOLOGY & ENGINEERING Power Resources Nuclear. bisacsh Causality (Physics) fast Dispersion relations fast Potential scattering fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85038459 http://id.loc.gov/authorities/subjects/sh85021458 http://id.loc.gov/authorities/subjects/sh85105673 |
| title | Causality and dispersion relations / |
| title_auth | Causality and dispersion relations / |
| title_exact_search | Causality and dispersion relations / |
| title_full | Causality and dispersion relations / H.M. Nussenzveig. |
| title_fullStr | Causality and dispersion relations / H.M. Nussenzveig. |
| title_full_unstemmed | Causality and dispersion relations / H.M. Nussenzveig. |
| title_short | Causality and dispersion relations / |
| title_sort | causality and dispersion relations |
| topic | Dispersion relations. http://id.loc.gov/authorities/subjects/sh85038459 Causality (Physics) http://id.loc.gov/authorities/subjects/sh85021458 Potential scattering. http://id.loc.gov/authorities/subjects/sh85105673 Causalité (Physique) Relations de dispersion. Diffusion potentielle. TECHNOLOGY & ENGINEERING Power Resources Nuclear. bisacsh Causality (Physics) fast Dispersion relations fast Potential scattering fast |
| topic_facet | Dispersion relations. Causality (Physics) Potential scattering. Causalité (Physique) Relations de dispersion. Diffusion potentielle. TECHNOLOGY & ENGINEERING Power Resources Nuclear. Dispersion relations Potential scattering |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=297137 https://www.sciencedirect.com/science/bookseries/00765392/95 |
| work_keys_str_mv | AT nussenzveighm causalityanddispersionrelations |