Open quantum systems an introduction
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Heidelberg [u.a.]
Springer
2012
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| Schriftenreihe: | SpringerBriefs in physics
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| 100 | 1 | |a Rivas, Ángel |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Open quantum systems |b an introduction |c Ángel Rivas ; Susana F. Huelga |
| 264 | 1 | |a Heidelberg [u.a.] |b Springer |c 2012 | |
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| 700 | 1 | |a Huelga, Susana F. |e Verfasser |4 aut | |
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Datensatz im Suchindex
| _version_ | 1806326064941629440 |
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| adam_text |
IMAGE 1
CONTENTS
1 MATHEMATICAL TOOLS 1
1.1 BANACH SPACES, NORMS AND LINEAR OPERATORS 1
1.2 EXPONENTIAL OF AN OPERATOR 2
1.3 SEMIGROUPS OF OPERATORS 5
1.3.1 CONTRACTION SEMIGROUPS 7
1.4 EVOLUTION FAMILIES 11
2 TIME EVOLUTION IN CLOSED QUANTUM SYSTEMS 15
3 TIME EVOLUTION IN OPEN QUANTUM SYSTEMS 19
3.1 DYNAMICAL MAPS 21
3.2 UNIVERSAL DYNAMICAL MAPS 24
3.3 UNIVERSAL DYNAMICAL MAPS AS CONTRACTIONS 26
3.4 THE INVERSE OF A UNIVERSAL DYNAMICAL MAP 28
3.5 TEMPORAL CONTINUITY: MARKOVIAN EVOLUTIONS 30
4 QUANTUM MARKOV PROCESS: MATHEMATICAL STRUCTURE 33 4.1 CLASSICAL
MARKOVIAN PROCESSES 33
4.2 QUANTUM MARKOV EVOLUTION AS A DIFFERENTIAL EQUATION 35 4.3
KOSSAKOWSKI CONDITIONS 39
4.4 STEADY STATES OF HOMOGENEOUS MARKOV PROCESSES 42
5 MICROSCOPIC DESCRIPTION: MARKOVIAN CASE 49
5.1 NAKAJIMA-ZWANZIG EQUATION 50
5.2 WEAK COUPLING LIMIT 54
5.2.1 DECOMPOSITION OF V 55
5.2.2 CORRELATION FUNCTIONS 59
5.2.3 DAVIES' THEOREM 60
5.2.4 EXPLICIT EXPRESSIONS FOR Y K( AND ST 63
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1013760921
DIGITALISIERT DURCH
IMAGE 2
X CONTENTS
5.2.5 TYPICAL EXAMPLES 65
5.2.6 SOME REMARKS ON THE SECULAR APPROXIMATION AND POSITIVITY
PRESERVING REQUIREMENT 70
5.2.7 FAILURE OF THE ASSUMPTION OF FACTORIZED DYNAMICS 70 5.2.8 STEADY
STATE PROPERTIES 71
5.3 SINGULAR COUPLING LIMIT 73
5.4 EXTENSIONS OF THE WEAK COUPLING LIMIT 76
5.4.1 WEAK COUPLING FOR MULTIPARTITE SYSTEMS 76
5.4.2 WEAK COUPLING UNDER EXTERNAL DRIVING 78
6 MICROSCOPIC DESCRIPTION: NON-MARKOVIAN CASE 81
6.1 INTEGRO-DIFFERENTIAL MODELS 82
6.2 TIME-CONVOLUTIONLESS FORMS 83
6.3 DYNAMICAL COARSE GRAINING METHOD 85
REFERENCES 89
INDEX 95 |
| any_adam_object | 1 |
| author | Rivas, Ángel Huelga, Susana F. |
| author_facet | Rivas, Ángel Huelga, Susana F. |
| author_role | aut aut |
| author_sort | Rivas, Ángel |
| author_variant | á r ár s f h sf sfh |
| building | Verbundindex |
| bvnumber | BV041354770 |
| ctrlnum | (OCoLC)759533862 (DE-599)DNB1013760921 |
| 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 | Book |
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| id | DE-604.BV041354770 |
| illustrated | Illustrated |
| indexdate | 2024-08-03T00:59:33Z |
| institution | BVB |
| isbn | 3642233538 9783642233531 9783642233548 |
| language | English |
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| physical | X, 97 S. graph. Darst. 24 cm |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| publisher | Springer |
| record_format | marc |
| series2 | SpringerBriefs in physics |
| spelling | Rivas, Ángel Verfasser aut Open quantum systems an introduction Ángel Rivas ; Susana F. Huelga Heidelberg [u.a.] Springer 2012 X, 97 S. graph. Darst. 24 cm txt rdacontent n rdamedia nc rdacarrier SpringerBriefs in physics Literaturangaben Dissipatives System (DE-588)4209641-8 gnd rswk-swf Quantenmechanisches System (DE-588)4300046-0 gnd rswk-swf Quantenmechanisches System (DE-588)4300046-0 s Dissipatives System (DE-588)4209641-8 s DE-604 Huelga, Susana F. Verfasser aut application/pdf http://d-nb.info/1013760921/04 Inhaltsverzeichnis text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3857326&prov=M&dok_var=1&dok_ext=htm Inhaltstext DE-601 pdf/application http://zbmath.org/?q=an:1246.81006 Zentralblatt MATH Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026803260&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Rivas, Ángel Huelga, Susana F. Open quantum systems an introduction Dissipatives System (DE-588)4209641-8 gnd Quantenmechanisches System (DE-588)4300046-0 gnd |
| subject_GND | (DE-588)4209641-8 (DE-588)4300046-0 |
| title | Open quantum systems an introduction |
| title_auth | Open quantum systems an introduction |
| title_exact_search | Open quantum systems an introduction |
| title_full | Open quantum systems an introduction Ángel Rivas ; Susana F. Huelga |
| title_fullStr | Open quantum systems an introduction Ángel Rivas ; Susana F. Huelga |
| title_full_unstemmed | Open quantum systems an introduction Ángel Rivas ; Susana F. Huelga |
| title_short | Open quantum systems |
| title_sort | open quantum systems an introduction |
| title_sub | an introduction |
| topic | Dissipatives System (DE-588)4209641-8 gnd Quantenmechanisches System (DE-588)4300046-0 gnd |
| topic_facet | Dissipatives System Quantenmechanisches System |
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