Diagonalizing quadratic bosonic operators by non-autonomous flow equations:
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, Rhode Island
American Mathematical Society
March 2016
|
| Series: | Memoirs of the American Mathematical Society
volume 240, number 1138 (4th of 5 numbers) |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | v, 122 Seiten |
| ISBN: | 9781470417055 |
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MARC
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Record in the Search Index
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| adam_text | Contents
Chapter I. Introduction 1
Chapter II. Diagonahzation of Quadratic Boson Hamiltonians 3
II. 1. Quadratic Boson Operators 3
11.2. Main Results 5
11.3. Historical Overview 8
Chapter III. Broeket-Wegner Flow for Quadratic Boson Operators 11
111.1. Setup of the Brocket—Wegner Flow 11
111.2. Mathematical Foundations of our Method 13
111.3. Asymptotic Properties of the Brocket-Wegner Flow 15
Chapter IV. Illustration of the Method 19
IV.1. The Brocket—Wegner Flow on Bogoliubov’s Example 19
IV. 2. Blow-up of the Brocket—Wegner Flow 25
Chapter V. Technical Proofs on the One—Particle Hilbert Space 27
V. l. Well-Posedness of the Flow 27
V.2. Constants of Motion 54
V. 3. Asymptotics Properties of the Flow 61
Chapter VI. Technical Proofs on the Boson Fock Space 75
VI. 1. Existence and Uniqueness of the Unitary Propagator 75
VI.2. Brocket—Wegner Flow on Quadratic Boson Operators 85
VI.3. Quasi N—Diagonahzation of Quadratic Boson Operators 92
VI. 4. N—Diagonahzation of Quadratic Boson Operators 95
Chapter VII. Appendix 101
VII. 1. Non—Autonomous Evolution Equations on Banach Spaces 101
VII.2. Autonomous Generators of Bogoliubov Transformations 111
VII.3. Trace and Representation of Hilbert—Schmidt Operators 115
References
121
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| any_adam_object | 1 |
| author | Bach, Volker 1965- Bru, Jean-Bernard 1973- |
| author_GND | (DE-588)143806092 (DE-588)1037695259 |
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| dewey-ones | 515 - Analysis |
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| dewey-search | 515.39 |
| dewey-sort | 3515.39 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV043382766 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:24:24Z |
| institution | BVB |
| isbn | 9781470417055 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028801396 |
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| physical | v, 122 Seiten |
| publishDate | 2016 |
| publishDateSearch | 2016 |
| publishDateSort | 2016 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Bach, Volker 1965- (DE-588)143806092 aut Diagonalizing quadratic bosonic operators by non-autonomous flow equations Volker Bach ; Jean-Bernard Bru Providence, Rhode Island American Mathematical Society March 2016 v, 122 Seiten txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society volume 240, number 1138 (4th of 5 numbers) Matrix Mathematik (DE-588)4037968-1 gnd rswk-swf Hamilton-Operator (DE-588)4072278-8 gnd rswk-swf Hilbert-Raum (DE-588)4159850-7 gnd rswk-swf Hamilton-Operator (DE-588)4072278-8 s Matrix Mathematik (DE-588)4037968-1 s Hilbert-Raum (DE-588)4159850-7 s DE-604 Bru, Jean-Bernard 1973- (DE-588)1037695259 aut Memoirs of the American Mathematical Society volume 240, number 1138 (4th of 5 numbers) (DE-604)BV008000141 1138 Digitalisierung UB Regensburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028801396&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bach, Volker 1965- Bru, Jean-Bernard 1973- Diagonalizing quadratic bosonic operators by non-autonomous flow equations Memoirs of the American Mathematical Society Matrix Mathematik (DE-588)4037968-1 gnd Hamilton-Operator (DE-588)4072278-8 gnd Hilbert-Raum (DE-588)4159850-7 gnd |
| subject_GND | (DE-588)4037968-1 (DE-588)4072278-8 (DE-588)4159850-7 |
| title | Diagonalizing quadratic bosonic operators by non-autonomous flow equations |
| title_auth | Diagonalizing quadratic bosonic operators by non-autonomous flow equations |
| title_exact_search | Diagonalizing quadratic bosonic operators by non-autonomous flow equations |
| title_full | Diagonalizing quadratic bosonic operators by non-autonomous flow equations Volker Bach ; Jean-Bernard Bru |
| title_fullStr | Diagonalizing quadratic bosonic operators by non-autonomous flow equations Volker Bach ; Jean-Bernard Bru |
| title_full_unstemmed | Diagonalizing quadratic bosonic operators by non-autonomous flow equations Volker Bach ; Jean-Bernard Bru |
| title_short | Diagonalizing quadratic bosonic operators by non-autonomous flow equations |
| title_sort | diagonalizing quadratic bosonic operators by non autonomous flow equations |
| topic | Matrix Mathematik (DE-588)4037968-1 gnd Hamilton-Operator (DE-588)4072278-8 gnd Hilbert-Raum (DE-588)4159850-7 gnd |
| topic_facet | Matrix Mathematik Hamilton-Operator Hilbert-Raum |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028801396&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
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