Non-equilibrium dynamics of trapped gases in controlled geometries:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
München
Verl. Dr. Hut
2009
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| Schriftenreihe: | Physik
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | V, 175 S. Ill., graph. Darst. 240 mm x 170 mm, 495 gr. |
| ISBN: | 9783899639490 |
Internformat
MARC
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| 245 | 1 | 0 | |a Non-equilibrium dynamics of trapped gases in controlled geometries |c Michael Eckart |
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Datensatz im Suchindex
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|---|---|
| adam_text | CONTENTS CONTENTS INTRODUCTION I THEORETICAL CONCEPTS FOR ULTRACOLD
QUANTUM GASES 7 1 EXTENDED MEAN-FIELD THEORY 9 1.1 GENERAL KINETIC
EQUATIONS 10 1.1.1 COARSE-GRAINED DENSITY OPERATOR 10 1.1.2 INTEGRAL
EQUATION FOR THE COARSE-GRAINED DENSITY OPERATOR 12 1.1.3 QUANTUM
KINETIC EQUATIONS 15 1.2 KINETIC EQUATIONS FOR WEAKLY INTERACTING DILUTE
BOSONS 16 1.2.1 SEPARATION OF TIME SCALES 17 1.2.2 MASTER VARIABLES 18
1.2.3 WICK S THEOREM 19 1.2.4 KINETIC EQUATIONS FOR THE MASTER VARIABLES
20 1.2.5 VARIOUS LIMITS OF THE DEVELOPED THEORY 21 1.3 EXTENDED
MEAN-FIELD THEORY FOR BOSONS IN 1D 26 2 MULTI-CONFIGURATION
TIME-DEPENDENT HARTREE METHOD 27 2.1 GENERAL IDEA 28 2.2 IMPLEMENTATION
31 2.2.1 DISCRETE VARIABLE REPRESENTATION 31 2.2.2 PRODUCT
REPRESENTATION OF THE POTENTIAL 31 2.2.3 RELAXATION METHOD FOR
STATIONARY STATES 32 2.3 APPLICATION TO ULTRACOLD BOSONS 32 2.3.1
PERMUTATION SYMMETRY 33 2.3.2 MODELING THE INTERACTION 33 3 LLEB-LLNIGER
THEORY FOR HOMOGENEOUS BOSONS IN 1D 35 3.1 BETHE ANSATZ FOR THE
EIGENVALUE PROBLEM 36 3.2 PERTURBATION THEORY 38 3.3 GROUND STATE
PROPERTIES IN THE THERMODYNAMIC LIMIT 41 BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/992892295 DIGITALISIERT DURCH CONTENTS II GROUND STATE
CORRELATIONS OF TRAPPED GASES IN 1D 45 4 GRANULARITY OF BOSONIC MATTER
WAVES IN FEW-PARTICLE SYSTEMS 47 4.1 CORRELATION FUNCTIONS IN THE
HOMOGENEOUS SYSTEM 49 4.2 ANALYSIS OF THE CORRELATIONS OF TRAPPED BOSONS
52 5 GROWTH OF CORRELATIONS IN A QUASI ONE-DIMENSIONAL BOESE GAS 57 5.1
STATIONARY HFB EQUATIONS IN THE HOMOGENEOUS SYSTEM 57 5.1.1 DIAGONAL
CONTRIBUTION OF THE FLUCTUATIONS 59 5.1.2 OFF-DIAGONAL CONTRIBUTION OF
THE FLUCTUATIONS 60 5.2 COMPARISON WITH LIEB-LINIGER THEORY 63 5.3
TRAPPED BOSONS AT ZERO AND FINITE TEMPERATURE 66 5.3.1 ZERO TEMPERATURE
LIMIT FOR A TRAPPED GAS 66 5.3.2 BEHAVIOR IN THE CENTER OF THE TRAP 70
5.3.3 DIAGONAL BEHAVIOR IN THE LOCAL DENSITY APPROXIMATION 71 5.3.4
FINITE TEMPERATURE RESULT FOR A TRAPPED GAS 73 6 ROLE OF THE NUMBER
UNCERTAINTY IN THE EXTENDED MEAN-FIELD THEORY 77 III DYNAMIC PROPERTIES
OF TRAPPED GASES IN CONTROLLED GEOMETRIES 83 7 BOSE-EINSTEIN CONDENSATES
IN TIME DEPENDENT ROTATING TRAPS 85 7.1 EXPERIMENTS OF THE QUANTUS
COLLABORATION 86 7.2 AFFINE TRANSFORMATION OF THE GROSS-PLTAEVSKLL
EQUATION 88 7.2.1 ELIMINATION OF THE CENTER OF MASS MOTION 90 7.2.2
LINEAR TRANSFORMATION OF THE WAVE FUNCTION 92 7.3 LONG TIME BEHAVIOR FOR
FREE EXPANSION 95 8 NNMERICAL SIMULATION OF THE GROSS-PLTAEVSKLL
EQUATION 99 8.1 OBTAINING THE GROUND STATE 99 8.1.1 FINITE DIFFERENCES
AND SOBOLEV GRADIENTS 102 8.1.2 FASTFOURLER TRANSFORM 109 8.1. CONTENTS
SUMMARY 135 APPENDIX 137 A HIGHER TRANSCENDENTAL FUNCTIONS 139 A.L
COMPLETE ELLIPTIC INTEGRALS 139 A.2 THE LAMBERT-W FUNCTION 140 B COMPLEX
INTEGRATION FOR FLUCTUATIONS 141 C MATLAB CODE FOR TIME EVOLUTION 143
C.L INITIALIZATION.M 143 C.2 GROUNDSTATE.M 145 C.3 EVOLUTION.M 147 C.4
OMEGA.M 149 C.5 READ TRAP.M 151 C.6 LAMBDAODE.M 152 C.7
GP_HAMILTONIAN_EVOLUTION.M 153 REFERENCES 155 ZUSAMMENFASSUNG 165
PUBLIKATIONEN 167 POSTER UND VORTRAEGE 169 CURRICULUM VITAE 171
DANKSAGUNG 173 ERKLAERUNG 175
|
| any_adam_object | 1 |
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| author_facet | Eckart, Michael |
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| dewey-full | 530.12 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| 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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| id | DE-604.BV035354443 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T21:31:59Z |
| institution | BVB |
| isbn | 9783899639490 |
| language | English |
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| physical | V, 175 S. Ill., graph. Darst. 240 mm x 170 mm, 495 gr. |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Verl. Dr. Hut |
| record_format | marc |
| series2 | Physik |
| spelling | Eckart, Michael Verfasser aut Non-equilibrium dynamics of trapped gases in controlled geometries Michael Eckart München Verl. Dr. Hut 2009 V, 175 S. Ill., graph. Darst. 240 mm x 170 mm, 495 gr. txt rdacontent n rdamedia nc rdacarrier Physik Ulm, Univ., Diss., 2008 Quantengas (DE-588)4755839-8 gnd rswk-swf Ultrakaltes Atom (DE-588)4820466-3 gnd rswk-swf Zeitabhängige Hartree-Fock-Näherung (DE-588)4190584-2 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Quantengas (DE-588)4755839-8 s Ultrakaltes Atom (DE-588)4820466-3 s Zeitabhängige Hartree-Fock-Näherung (DE-588)4190584-2 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017158532&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Eckart, Michael Non-equilibrium dynamics of trapped gases in controlled geometries Quantengas (DE-588)4755839-8 gnd Ultrakaltes Atom (DE-588)4820466-3 gnd Zeitabhängige Hartree-Fock-Näherung (DE-588)4190584-2 gnd |
| subject_GND | (DE-588)4755839-8 (DE-588)4820466-3 (DE-588)4190584-2 (DE-588)4113937-9 |
| title | Non-equilibrium dynamics of trapped gases in controlled geometries |
| title_auth | Non-equilibrium dynamics of trapped gases in controlled geometries |
| title_exact_search | Non-equilibrium dynamics of trapped gases in controlled geometries |
| title_full | Non-equilibrium dynamics of trapped gases in controlled geometries Michael Eckart |
| title_fullStr | Non-equilibrium dynamics of trapped gases in controlled geometries Michael Eckart |
| title_full_unstemmed | Non-equilibrium dynamics of trapped gases in controlled geometries Michael Eckart |
| title_short | Non-equilibrium dynamics of trapped gases in controlled geometries |
| title_sort | non equilibrium dynamics of trapped gases in controlled geometries |
| topic | Quantengas (DE-588)4755839-8 gnd Ultrakaltes Atom (DE-588)4820466-3 gnd Zeitabhängige Hartree-Fock-Näherung (DE-588)4190584-2 gnd |
| topic_facet | Quantengas Ultrakaltes Atom Zeitabhängige Hartree-Fock-Näherung Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017158532&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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