Diagonalizing Quadratic Bosonic Operators by Non-Autonomous Flow Equations. (Record no. 127893)
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| 000 -LEADER | |
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| fixed length control field | 03842nam a22004813i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC4901857 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240729131324.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d | |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cnu|||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240724s2016 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781470428280 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9781470417055 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC4901857 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL4901857 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)938459033 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | MiAaPQ |
| Language of cataloging | eng |
| Description conventions | rda |
| -- | pn |
| Transcribing agency | MiAaPQ |
| Modifying agency | MiAaPQ |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QC174.17.H3 B33 2015 |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515/.39 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Bach, Volker. |
| 245 10 - TITLE STATEMENT | |
| Title | Diagonalizing Quadratic Bosonic Operators by Non-Autonomous Flow Equations. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Providence : |
| Name of producer, publisher, distributor, manufacturer | American Mathematical Society, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2016. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©2015. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (134 pages) |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
| Source | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| Series statement | Memoirs of the American Mathematical Society Series ; |
| Volume/sequential designation | v.240 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Cover -- Title page -- Chapter I. Introduction -- Chapter II. Diagonalization of Quadratic Boson Hamiltonians -- II.1. Quadratic Boson Operators -- II.2. Main Results -- II.3. Historical Overview -- Chapter III. Brocket-Wegner Flow for Quadratic Boson Operators -- III.1. Setup of the Brocket-Wegner Flow -- III.2. Mathematical Foundations of our Method -- III.3. Asymptotic Properties of the Brocket-Wegner Flow -- Chapter IV. Illustration of the Method -- IV.1. The Brocket-Wegner Flow on Bogoliubov's Example -- IV.2. Blow-up of the Brocket-Wegner Flow -- Chapter V. Technical Proofs on the One-Particle Hilbert Space -- V.1. Well-Posedness of the Flow -- V.2. Constants of Motion -- V.3. Asymptotics Properties of the Flow -- Chapter VI. Technical Proofs on the Boson Fock Space -- VI.1. Existence and Uniqueness of the Unitary Propagator -- VI.2. Brocket-Wegner Flow on Quadratic Boson Operators -- VI.3. Quasi -Diagonalization of Quadratic Boson Operators -- VI.4. -Diagonalization of Quadratic Boson Operators -- Chapter VII. Appendix -- VII.1. Non-Autonomous Evolution Equations on Banach Spaces -- VII.2. Autonomous Generators of Bogoliubov Transformations -- VII.3. Trace and Representation of Hilbert-Schmidt Operators -- References -- Back Cover. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | The authors study a non-autonomous, non-linear evolution equation on the space of operators on a complex Hilbert space. They specify assumptions that ensure the global existence of its solutions and allow them to derive its asymptotics at temporal infinity. They demonstrate that these assumptions are optimal in a suitable sense and more general than those used before. The evolution equation derives from the Brocketâe"Wegner flow that was proposed to diagonalize matrices and operators by a strongly continuous unitary flow. In fact, the solution of the non-linear flow equation leads to a diagonalization of Hamiltonian operators in boson quantum field theory which are quadratic in the field. |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Description based on publisher supplied metadata and other sources. |
| 590 ## - LOCAL NOTE (RLIN) | |
| Local note | Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Hamiltonian operator. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Matrices. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Hilbert space. |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Bru, Jean-Bernard. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Bach, Volker |
| Title | Diagonalizing Quadratic Bosonic Operators by Non-Autonomous Flow Equations |
| Place, publisher, and date of publication | Providence : American Mathematical Society,c2016 |
| International Standard Book Number | 9781470417055 |
| 797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN) | |
| Corporate name or jurisdiction name as entry element | ProQuest (Firm) |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Memoirs of the American Mathematical Society Series |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=4901857">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=4901857</a> |
| Public note | Click to View |
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