Collective Excitations in Bose-Einstein Condensates:
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
2013
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| Schlagworte: | |
| Online-Zugang: | kostenfrei Inhaltsverzeichnis |
| Beschreibung: | Nebentitel: Kollektive Anregungen in Bose-Einstein Kondensaten |
| Beschreibung: | 129 S. Ill., graph. Darst. |
Internformat
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| 246 | 1 | 3 | |a Kollektive Anregungen in Bose-Einstein Kondensaten |
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Datensatz im Suchindex
| _version_ | 1804151362958655488 |
|---|---|
| adam_text | CONTENTS
1. INTRODUCTION 9
1.1. BOSE-EINSTEIN CONDENSATES 9
1.2. COLLECTIVE EXCITATIONS 11
1.3. THREE-BODY INTERACTION 14
1.4. VORTICES IN ATOMIC BOSE-EINSTEIN CONDENSATE 15
1.5. THIS THESIS 17
2. GROSS-PITAEVSKII MEAN-FIELD THEORY 21
2.1. SECOND QUANTIZATION HAMILTONIAN 21
2.1.1. TIME-DEPENDENT GROSS-PITAEVSKII EQUATION 23
2.1.2. TIME-INDEPENDENT GROSS-PITAEVSKII EQUATION 24
2.1.3. THOMAS-FERMI APPROXIMATION 24
2.2. VARIATIONAL APPROACH 25
2.3. EQUILIBRIUM POSITIONS 29
2.4. COLLECTIVE MODES 30
2.5. STABILITY DIAGRAM 34
2.6. TIME-OF-FLIGHT EXPANSION 37
3. PARAMETRIC RESONANCES 39
3.1. SPHERICAL-SYMMETRY TRAP 41
3.1.1. NUMERICAL SIMULATIONS 42
3.1.2. POINCARE-LINDSTEDT METHOD 43
3.1.3. DISCUSSION 46
3.2. AXIALLY-SYMMETRIC BEC 48
3.2.1. POINCARE-LINDSTEDT METHOD 48
3.2.2. DISCUSSION 51
4. GEOMETRIC RESONANCES 53
4.1. SHIFTS IN FREQUENCIES OF COLLECTIVE MODES 54
4.1.1. QUADRUPOLE MODE 54
4.1.2. BREATHING MODE 58
4.2. COMPARISON WITH NUMERICAL RESULTS 58
4.3. RESONANT MODE COUPLING 61
5. BREAKDOWN OF KOHN THEOREM NEAR FESHBACH RESONANCE IN MAGNETIC TRAP 67
5.1. NEAR FESHBACH RESONANCE 68
5.2. VARIATIONAL APPROACH 69
5.3. APPROXIMATIVE SOLUTION 70
5.4. SCHWINGER TIRICK 73
5.5. ON TOP OF FESHBACH RESONANCE 74
5.6. RIGHT-HAND SIDE OF FESHBACH RESONANCE 79
HTTP://D-NB.INFO/1043466428
CONTENTS
6. BOSE-EINSTEIN CONDENSATE WITH SINGLE VORTEX 87
6.1. QUANTIZATION OF CIRCULATION 87
6.2. STRUCTURE OF SINGLE VORTEX 88
6.3. DYNAMICS OF BEC WITH SINGLE VORTEX 90
6.4. EQUILIBRIUM POSITIONS 92
6.5. COLLECTIVE MODES 95
6.6. CRITICAL ROTATIONAL FREQUENCY 97
6.7. TIME-OF-FLIGHT EXPANSION 99
7. CONCLUSION 103
A. ABBREVIATIONS AI 107
B. ABBREVIATIONS EI 109
LIST OF PUBLICATIONS 111
BIBLIOGRAPHY 113
ACKNOWLEDGEMENTS 129
|
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| discipline | Physik |
| format | Thesis Book |
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| spelling | Jibbouri, Hamid Jabber Haziran al- Verfasser (DE-588)1042418136 aut Collective Excitations in Bose-Einstein Condensates von Hamid Jabber Haziran Al-Jibbouri Kollektive Anregungen in Bose-Einstein Kondensaten 2013 129 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Nebentitel: Kollektive Anregungen in Bose-Einstein Kondensaten Berlin, Freie Univ., Diss., 2013 (DE-588)4113937-9 Hochschulschrift gnd-content Erscheint auch als Online-Ausgabe urn:nbn:de:kobv:188-fudissthesis000000095270-2 http://www.diss.fu-berlin.de/diss/receive/FUDISS_thesis_000000095270 kostenfrei Volltext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026745076&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Jibbouri, Hamid Jabber Haziran al- Collective Excitations in Bose-Einstein Condensates |
| subject_GND | (DE-588)4113937-9 |
| title | Collective Excitations in Bose-Einstein Condensates |
| title_alt | Kollektive Anregungen in Bose-Einstein Kondensaten |
| title_auth | Collective Excitations in Bose-Einstein Condensates |
| title_exact_search | Collective Excitations in Bose-Einstein Condensates |
| title_full | Collective Excitations in Bose-Einstein Condensates von Hamid Jabber Haziran Al-Jibbouri |
| title_fullStr | Collective Excitations in Bose-Einstein Condensates von Hamid Jabber Haziran Al-Jibbouri |
| title_full_unstemmed | Collective Excitations in Bose-Einstein Condensates von Hamid Jabber Haziran Al-Jibbouri |
| title_short | Collective Excitations in Bose-Einstein Condensates |
| title_sort | collective excitations in bose einstein condensates |
| topic_facet | Hochschulschrift |
| url | http://www.diss.fu-berlin.de/diss/receive/FUDISS_thesis_000000095270 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026745076&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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