Resonanzen für das quantenmechanische Zweizentren-Problem:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
2012
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| Schlagworte: | |
| Online-Zugang: | Volltext https://nbn-resolving.org/urn:nbn:de:bvb:29-opus-35468 http://d-nb.info/102652699X/34 Inhaltsverzeichnis |
| Beschreibung: | 126 S. |
Internformat
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| 264 | 1 | |c 2012 | |
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Datensatz im Suchindex
| _version_ | 1804149626594394112 |
|---|---|
| adam_text | IMAGE 1
CONTENTS
SUNTO 9
Z U S A M M E N F A S S U N G 1 1
C H A P T E R 1. INTRODUCTION 1 3
1.1. T H E T W O - C E N T E R C O U L O M B S Y S T E M 1 5
1.2. S E P A R A T I O N IN PROLATE ELLIPTIC COORDINATES 1 6
C H A P T E R 2. T H E CLASSICAL PROBLEM O F T W O C O U L O M B C E N T
E R S 2 1
2.1. HAMILTONIAN S E T T I N G 2 1
2.2. BIFURCATION D I A G R A M S 2 5
2.3. BIFURCATIONS FOR PLANAR M O T I O N S 2 6
2.4. MOTION FOR Z _ = 0 3 0
2.5. MOTION FOR 2 + = 0 3 3
2.6. T H E GENERAL C A S E 3 4
C H A P T E R 3. T H E T W O - C E N T E R S S Y S T E M O N L 2 ( R 3 )
3 7
3.1. FIRST SEPARATION FROM A N O P E R A T O R THEORETICAL POINT O F
VIEW 3 7
3.2. A REMARK O N T H E S E C O N D S E P A R A T I O N 3 9
3.3. SELF-ADJOINT EXTENSION AND S P E C T R U M O F T H E A N G U L A R
O P E R A T O R 4 0
3.4. ANALYTIC EXTENSIONS O F T H E EIGENVALUES O F 4 3
3.5. SECOND SEPARATION FROM AN O P E R A T O R THEORETICAL P O I N T O F
VIEW 4 4
3.6. SELF-ADJOINT EXTENSIONS O F T H E RADIAL O P E R A T O R S 4 5
3.7. FORMAL PARTIAL WAVE EXPANSION O F T H E GREEN S FUNCTION 4 9
C H A P T E R 4. T H E T W O - C E N T E R S S Y S T E M O N L 2 ( R 2 )
5 1
4.1. S E P A R A T I O N O F VARIABLES 5 1
4.2. S P E C T R U M O F T H E A N G U L A R E Q U A T I O N A N D ITS
ANALYTIC C O N T I N U A T I O N 5 3
4.3. A S Y M P T O T I C BEHAVIOR O F SOLUTION O F T H E RADIAL S C H R
O D I N G E R E Q U A T I O N A N D
T H E I R ANALYTIC EXTENSIONS 5 6
4.4. GENERALIZED EIGENFUNCTIONS, GREEN S FUNCTION A N D T H E S C A T T
E R I N G M A T R I X 6 8
4.5. FORMAL PARTIAL W A V E EXPANSION O F T H E GREEN S FUNCTION 7 1
4.6. RESONANCES FOR T H E 2-DIMENSIONAL PROBLEM 7 3
4.7. C O M P U T A T I O N O F T H E RESONANCES O F K ^ 7 4
4.8. EIGENVALUES A S Y M P T O T I C S A N D R E S O N A N T REGIONS FOR
Z _ = 0 N E A R T H E
B O T T O M O F T H E S P E C T R U M 7 6
4.9. EIGENVALUES A S Y M P T O T I C S A N D R E S O N A N T REGIONS FOR
Z _ 0 N E A R T H E
B O T T O M O F T H E S P E C T R U M 7 7
7
HTTP://D-NB.INFO/102983251X
IMAGE 2
C O N T E N T S
4 . 1 0 . HIGH ENERGY E S T I M A T E S 8 2
4.11. NUMERICAL INVESTIGATIONS 8 3
C H A P T E R 5. B A C K T O T H E T H R E E DIMENSIONAL PROBLEM 9 1
5.1. A S Y M P T O T I C ANALYSIS O F T H E SOLUTIONS O F 9 1
5.2. E S T I M A T E FOR T H E EIGENVALUES IN T H E C A S E Z _ = 0 9 3
5.3. E S T I M A T E FOR T H E EIGENVALUES IN T H E C A S E Z _ ^ 0 9 7
C H A P T E R 6. FINAL CONSIDERATIONS 1 0 1
A P P E N D I X A. A SMALL INTRODUCTION T O T H E T H E O R Y O F
STURM-LIOUVILLE O P E R A T O R S 1 0 3
A P P E N D I X B. SINGULAR S E C O N D - O R D E R STURM-LIOUVILLE O P
E R A T O R S W I T H C O M P L E X
COEFFICIENTS 1 0 7
A P P E N D I X C. P E R T U R B A T I O N T H E O R Y IN A NUTSHELL 1 1
3
A P P E N D I X D. GENERALIZED PRIIFER T R A N S F O R M A T I O N IN T
H E SEMI-CLASSICAL LIMIT 117
BIBLIOGRAPHY 1 2 3
|
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| dewey-ones | 530 - Physics |
| dewey-raw | 530.12 |
| dewey-search | 530.12 |
| dewey-sort | 3530.12 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Thesis Book |
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| indexdate | 2024-07-10T00:26:01Z |
| institution | BVB |
| language | English |
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| physical | 126 S. |
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| spelling | Seri, Marcello Verfasser aut Resonanzen für das quantenmechanische Zweizentren-Problem von Marcello Seri 2012 126 S. txt rdacontent n rdamedia nc rdacarrier Erlangen-Nürnberg, Univ., Diss., 2012 und Bologna, Univ., Diss., 2012 Sturm-Liouville-Problem (DE-588)4489971-3 gnd rswk-swf Massenresonanz (DE-588)4311657-7 gnd rswk-swf Quantenmechanik (DE-588)4047989-4 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Sturm-Liouville-Problem (DE-588)4489971-3 s Quantenmechanik (DE-588)4047989-4 s Massenresonanz (DE-588)4311657-7 s DE-604 Erscheint auch als Online-Ausgabe urn:nbn:de:bvb:29-opus-35468 https://open.fau.de/handle/openfau/2385 Verlag kostenfrei Volltext https://nbn-resolving.org/urn:nbn:de:bvb:29-opus-35468 Resolving-System http://d-nb.info/102652699X/34 Langzeitarchivierung Nationalbibliothek DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025383082&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Seri, Marcello Resonanzen für das quantenmechanische Zweizentren-Problem Sturm-Liouville-Problem (DE-588)4489971-3 gnd Massenresonanz (DE-588)4311657-7 gnd Quantenmechanik (DE-588)4047989-4 gnd |
| subject_GND | (DE-588)4489971-3 (DE-588)4311657-7 (DE-588)4047989-4 (DE-588)4113937-9 |
| title | Resonanzen für das quantenmechanische Zweizentren-Problem |
| title_auth | Resonanzen für das quantenmechanische Zweizentren-Problem |
| title_exact_search | Resonanzen für das quantenmechanische Zweizentren-Problem |
| title_full | Resonanzen für das quantenmechanische Zweizentren-Problem von Marcello Seri |
| title_fullStr | Resonanzen für das quantenmechanische Zweizentren-Problem von Marcello Seri |
| title_full_unstemmed | Resonanzen für das quantenmechanische Zweizentren-Problem von Marcello Seri |
| title_short | Resonanzen für das quantenmechanische Zweizentren-Problem |
| title_sort | resonanzen fur das quantenmechanische zweizentren problem |
| topic | Sturm-Liouville-Problem (DE-588)4489971-3 gnd Massenresonanz (DE-588)4311657-7 gnd Quantenmechanik (DE-588)4047989-4 gnd |
| topic_facet | Sturm-Liouville-Problem Massenresonanz Quantenmechanik Hochschulschrift |
| url | https://open.fau.de/handle/openfau/2385 https://nbn-resolving.org/urn:nbn:de:bvb:29-opus-35468 http://d-nb.info/102652699X/34 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025383082&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT serimarcello resonanzenfurdasquantenmechanischezweizentrenproblem |