Inverse Problems in Scattering: An Introduction
Inverse Problems in Scattering exposes some of the mathematics which has been developed in attempts to solve the one-dimensional inverse scattering problem. Layered media are treated in Chapters 1--6 and quantum mechanical models in Chapters 7--10. Thus, Chapters 2 and 6 show the connections between...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
1993
|
| Schriftenreihe: | Solid Mechanics and its Applications
23 |
| Schlagworte: | |
| Online-Zugang: | BTU01 URL des Erstveröffentlichers |
| Zusammenfassung: | Inverse Problems in Scattering exposes some of the mathematics which has been developed in attempts to solve the one-dimensional inverse scattering problem. Layered media are treated in Chapters 1--6 and quantum mechanical models in Chapters 7--10. Thus, Chapters 2 and 6 show the connections between matrix theory, Schur's lemma in complex analysis, the Levinson--Durbin algorithm, filter theory, moment problems and orthogonal polynomials. The chapters devoted to the simplest inverse scattering problems in quantum mechanics show how the Gel'fand--Levitan and Marchenko equations arose. The introduction to this problem is an excursion through the inverse problem related to a finite difference version of Schrödinger's equation. One of the basic problems in inverse quantum scattering is to determine what conditions must be imposed on the scattering data to ensure that they correspond to a regular potential, which involves Lebesque integrable functions, which are introduced in Chapter 9 |
| Beschreibung: | 1 Online-Ressource (X, 366 p) |
| ISBN: | 9789401120463 |
| DOI: | 10.1007/978-94-011-2046-3 |
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| spelling | Gladwell, G. M. L. Verfasser aut Inverse Problems in Scattering An Introduction by G. M. L. Gladwell Dordrecht Springer Netherlands 1993 1 Online-Ressource (X, 366 p) txt rdacontent c rdamedia cr rdacarrier Solid Mechanics and its Applications 23 Inverse Problems in Scattering exposes some of the mathematics which has been developed in attempts to solve the one-dimensional inverse scattering problem. Layered media are treated in Chapters 1--6 and quantum mechanical models in Chapters 7--10. Thus, Chapters 2 and 6 show the connections between matrix theory, Schur's lemma in complex analysis, the Levinson--Durbin algorithm, filter theory, moment problems and orthogonal polynomials. The chapters devoted to the simplest inverse scattering problems in quantum mechanics show how the Gel'fand--Levitan and Marchenko equations arose. The introduction to this problem is an excursion through the inverse problem related to a finite difference version of Schrödinger's equation. One of the basic problems in inverse quantum scattering is to determine what conditions must be imposed on the scattering data to ensure that they correspond to a regular potential, which involves Lebesque integrable functions, which are introduced in Chapter 9 Physics Theoretical, Mathematical and Computational Physics Engineering, general Engineering Mechanik (DE-588)4038168-7 gnd rswk-swf Inverses Streuproblem (DE-588)4027547-4 gnd rswk-swf Quantenmechanik (DE-588)4047989-4 gnd rswk-swf Inverses Streuproblem (DE-588)4027547-4 s Quantenmechanik (DE-588)4047989-4 s 1\p DE-604 Mechanik (DE-588)4038168-7 s 2\p DE-604 Erscheint auch als Druck-Ausgabe 9789401049061 https://doi.org/10.1007/978-94-011-2046-3 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Gladwell, G. M. L. Inverse Problems in Scattering An Introduction Physics Theoretical, Mathematical and Computational Physics Engineering, general Engineering Mechanik (DE-588)4038168-7 gnd Inverses Streuproblem (DE-588)4027547-4 gnd Quantenmechanik (DE-588)4047989-4 gnd |
| subject_GND | (DE-588)4038168-7 (DE-588)4027547-4 (DE-588)4047989-4 |
| title | Inverse Problems in Scattering An Introduction |
| title_auth | Inverse Problems in Scattering An Introduction |
| title_exact_search | Inverse Problems in Scattering An Introduction |
| title_full | Inverse Problems in Scattering An Introduction by G. M. L. Gladwell |
| title_fullStr | Inverse Problems in Scattering An Introduction by G. M. L. Gladwell |
| title_full_unstemmed | Inverse Problems in Scattering An Introduction by G. M. L. Gladwell |
| title_short | Inverse Problems in Scattering |
| title_sort | inverse problems in scattering an introduction |
| title_sub | An Introduction |
| topic | Physics Theoretical, Mathematical and Computational Physics Engineering, general Engineering Mechanik (DE-588)4038168-7 gnd Inverses Streuproblem (DE-588)4027547-4 gnd Quantenmechanik (DE-588)4047989-4 gnd |
| topic_facet | Physics Theoretical, Mathematical and Computational Physics Engineering, general Engineering Mechanik Inverses Streuproblem Quantenmechanik |
| url | https://doi.org/10.1007/978-94-011-2046-3 |
| work_keys_str_mv | AT gladwellgml inverseproblemsinscatteringanintroduction |