Transient tunnel effect and Sommerfeld problem: waves in semi-infinite structures ; [with 3 tables]
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin
Akad.-Verl.
1996
|
| Ausgabe: | 1. ed. |
| Schriftenreihe: | Mathematical research
91 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Darmstadt, Techn. Hochsch., Habil.-Schr., 1995 |
| Beschreibung: | 210 S. Ill. |
| ISBN: | 3055017072 |
Internformat
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| 100 | 1 | |a Ali Mehmeti, Felix |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Transient tunnel effect and Sommerfeld problem |b waves in semi-infinite structures ; [with 3 tables] |c Felix Ali Mehmeti |
| 250 | |a 1. ed. | ||
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Datensatz im Suchindex
| _version_ | 1804125438718509056 |
|---|---|
| adam_text | Contents
0 Introduction 9
1 Spectral theory and L°° time decay estimates for Klein Gordon equations
on two half axes with transmission: the tunnel effect 25
1.1 Data and functional analytic framework 25
1.2 The Principle of Stationary Action and Friedrichs extension 30
1.3 The resolvent of the spatial part as integral operator and the Limiting Ab¬
sorption Principle 36
1.4 Expansion in generalized eigenfunctions 47
1.5 Representation and regularity of the solutions 60
1.6 L°° time decay estimates 62
1.7 Appendix to Chapter 1 83
1.8 Physical and philosophical implications of recent experimental and theoretical
results on the relativistic tunnel effect 83
2 A Limiting Absorption Principle for the Sommerfeld problem in the plane 93
2.1 Formulation of the problem 94
2.2 A formula for the resolvent in terms of generalized eigenfunctions 96
2.3 Generalized eigenfunctions as Laplace integrals 101
2.4 An uncertainty principle for some Laplace integrals 116
2.5 Regularity of the generalized eigenfunctions 119
2.6 A Limiting Absorption Principle 124
2.7 Convergence speed in the Limiting Absorption Principle 139
2.8 Appendix to Chapter 2 175
Bibliography 199
|
| any_adam_object | 1 |
| author | Ali Mehmeti, Felix |
| author_facet | Ali Mehmeti, Felix |
| author_role | aut |
| author_sort | Ali Mehmeti, Felix |
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| building | Verbundindex |
| bvnumber | BV010951200 |
| classification_rvk | UF 6200 UH 3000 |
| classification_tum | MAT 357d |
| ctrlnum | (OCoLC)312352601 (DE-599)BVBBV010951200 |
| discipline | Physik Mathematik |
| edition | 1. ed. |
| format | Book |
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| id | DE-604.BV010951200 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:01:34Z |
| institution | BVB |
| isbn | 3055017072 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007324915 |
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| physical | 210 S. Ill. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Akad.-Verl. |
| record_format | marc |
| series | Mathematical research |
| series2 | Mathematical research |
| spelling | Ali Mehmeti, Felix Verfasser aut Transient tunnel effect and Sommerfeld problem waves in semi-infinite structures ; [with 3 tables] Felix Ali Mehmeti 1. ed. Berlin Akad.-Verl. 1996 210 S. Ill. txt rdacontent n rdamedia nc rdacarrier Mathematical research 91 Darmstadt, Techn. Hochsch., Habil.-Schr., 1995 Wellenausbreitung (DE-588)4121912-0 gnd rswk-swf Tunneleffekt (DE-588)4136216-0 gnd rswk-swf Klein-Gordon-Gleichung (DE-588)4164132-2 gnd rswk-swf Einschwingvorgang (DE-588)4151395-2 gnd rswk-swf Unendlichdimensionaler Raum (DE-588)4207852-0 gnd rswk-swf Halbraum (DE-588)4023001-6 gnd rswk-swf Quantenfeldtheorie (DE-588)4047984-5 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Halbraum (DE-588)4023001-6 s Wellenausbreitung (DE-588)4121912-0 s DE-604 Tunneleffekt (DE-588)4136216-0 s Klein-Gordon-Gleichung (DE-588)4164132-2 s Quantenfeldtheorie (DE-588)4047984-5 s 1\p DE-604 Einschwingvorgang (DE-588)4151395-2 s 2\p DE-604 Unendlichdimensionaler Raum (DE-588)4207852-0 s 3\p DE-604 Mathematical research 91 (DE-604)BV000008585 91 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007324915&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 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 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Ali Mehmeti, Felix Transient tunnel effect and Sommerfeld problem waves in semi-infinite structures ; [with 3 tables] Mathematical research Wellenausbreitung (DE-588)4121912-0 gnd Tunneleffekt (DE-588)4136216-0 gnd Klein-Gordon-Gleichung (DE-588)4164132-2 gnd Einschwingvorgang (DE-588)4151395-2 gnd Unendlichdimensionaler Raum (DE-588)4207852-0 gnd Halbraum (DE-588)4023001-6 gnd Quantenfeldtheorie (DE-588)4047984-5 gnd |
| subject_GND | (DE-588)4121912-0 (DE-588)4136216-0 (DE-588)4164132-2 (DE-588)4151395-2 (DE-588)4207852-0 (DE-588)4023001-6 (DE-588)4047984-5 (DE-588)4113937-9 |
| title | Transient tunnel effect and Sommerfeld problem waves in semi-infinite structures ; [with 3 tables] |
| title_auth | Transient tunnel effect and Sommerfeld problem waves in semi-infinite structures ; [with 3 tables] |
| title_exact_search | Transient tunnel effect and Sommerfeld problem waves in semi-infinite structures ; [with 3 tables] |
| title_full | Transient tunnel effect and Sommerfeld problem waves in semi-infinite structures ; [with 3 tables] Felix Ali Mehmeti |
| title_fullStr | Transient tunnel effect and Sommerfeld problem waves in semi-infinite structures ; [with 3 tables] Felix Ali Mehmeti |
| title_full_unstemmed | Transient tunnel effect and Sommerfeld problem waves in semi-infinite structures ; [with 3 tables] Felix Ali Mehmeti |
| title_short | Transient tunnel effect and Sommerfeld problem |
| title_sort | transient tunnel effect and sommerfeld problem waves in semi infinite structures with 3 tables |
| title_sub | waves in semi-infinite structures ; [with 3 tables] |
| topic | Wellenausbreitung (DE-588)4121912-0 gnd Tunneleffekt (DE-588)4136216-0 gnd Klein-Gordon-Gleichung (DE-588)4164132-2 gnd Einschwingvorgang (DE-588)4151395-2 gnd Unendlichdimensionaler Raum (DE-588)4207852-0 gnd Halbraum (DE-588)4023001-6 gnd Quantenfeldtheorie (DE-588)4047984-5 gnd |
| topic_facet | Wellenausbreitung Tunneleffekt Klein-Gordon-Gleichung Einschwingvorgang Unendlichdimensionaler Raum Halbraum Quantenfeldtheorie Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007324915&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000008585 |
| work_keys_str_mv | AT alimehmetifelix transienttunneleffectandsommerfeldproblemwavesinsemiinfinitestructureswith3tables |