Quantum Harmonic Analysis : : An Introduction /

Quantum Harmonic Analysis : : An Introduction / / Maurice A. de Gosson.

Quantum mechanics is arguably one of the most successful scientific theories ever and its applications to chemistry, optics, and information theory are innumerable. This book provides the reader with a rigorous treatment of the main mathematical tools from harmonic analysis which play an essential r...

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Superior document:Title is part of eBook package: De Gruyter DG Ebook Package English 2021
VerfasserIn:
Gosson, Maurice A. de,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2021]
©2021
Year of Publication:2021
Language:English
Series:Advances in Analysis and Geometry , 4
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Physical Description:1 online resource (XVIII, 222 p.)
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id 9783110722772
ctrlnum (DE-B1597)571077
(OCoLC)1262308303
collection bib_alma
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spelling Gosson, Maurice A. de, author. aut http://id.loc.gov/vocabulary/relators/aut
Quantum Harmonic Analysis : An Introduction / Maurice A. de Gosson.
Berlin ; Boston : De Gruyter, [2021]
©2021
1 online resource (XVIII, 222 p.)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
Advances in Analysis and Geometry , 2511-0438 ; 4
Frontmatter -- Contents -- Preface -- Introduction -- 1 Preliminaries -- 2 Displacements and reflections -- 3 The cross-Wigner transform -- 4 Gaussians and hermite functions -- 5 The Weyl transform -- 6 The Cohen class -- 7 Born–Jordan quantization -- 8 Metaplectic operators -- 9 The property of symplectic covariance -- 10 The Feichtinger algebra -- 11 Hilbert–Schmidt operators -- 12 The trace class -- 13 The quantum Bochner theorem -- 14 The density operator -- 15 The uncertainty principle -- 16 Separability and entanglement -- 17 Separability of Gaussian states -- Bibliography -- Index
restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star
Quantum mechanics is arguably one of the most successful scientific theories ever and its applications to chemistry, optics, and information theory are innumerable. This book provides the reader with a rigorous treatment of the main mathematical tools from harmonic analysis which play an essential role in the modern formulation of quantum mechanics. This allows us at the same time to suggest some new ideas and methods, with a special focus on topics such as the Wigner phase space formalism and its applications to the theory of the density operator and its entanglement properties. This book can be used with profit by advanced undergraduate students in mathematics and physics, as well as by confirmed researchers.
Issued also in print.
Mode of access: Internet via World Wide Web.
In English.
Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023)
Harmonic analysis.
Quantum theory.
MATHEMATICS / Logic. bisacsh
Title is part of eBook package: De Gruyter DG Ebook Package English 2021 9783110750720
Title is part of eBook package: De Gruyter DG Plus DeG Package 2021 Part 1 9783110750706
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2021 English 9783110754001
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2021 9783110753776 ZDB-23-DGG
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2021 English 9783110754131
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2021 9783110753905 ZDB-23-DMA
EPUB 9783110722901
print 9783110722611
https://doi.org/10.1515/9783110722772
https://www.degruyter.com/isbn/9783110722772
Cover https://www.degruyter.com/document/cover/isbn/9783110722772/original
language English
format eBook
author Gosson, Maurice A. de,
Gosson, Maurice A. de,
spellingShingle Gosson, Maurice A. de,
Gosson, Maurice A. de,
Quantum Harmonic Analysis : An Introduction /
Advances in Analysis and Geometry ,
Frontmatter --
Contents --
Preface --
Introduction --
1 Preliminaries --
2 Displacements and reflections --
3 The cross-Wigner transform --
4 Gaussians and hermite functions --
5 The Weyl transform --
6 The Cohen class --
7 Born–Jordan quantization --
8 Metaplectic operators --
9 The property of symplectic covariance --
10 The Feichtinger algebra --
11 Hilbert–Schmidt operators --
12 The trace class --
13 The quantum Bochner theorem --
14 The density operator --
15 The uncertainty principle --
16 Separability and entanglement --
17 Separability of Gaussian states --
Bibliography --
Index
author_facet Gosson, Maurice A. de,
Gosson, Maurice A. de,
author_variant m a d g mad madg
m a d g mad madg
author_role VerfasserIn
VerfasserIn
author_sort Gosson, Maurice A. de,
title Quantum Harmonic Analysis : An Introduction /
title_sub An Introduction /
title_full Quantum Harmonic Analysis : An Introduction / Maurice A. de Gosson.
title_fullStr Quantum Harmonic Analysis : An Introduction / Maurice A. de Gosson.
title_full_unstemmed Quantum Harmonic Analysis : An Introduction / Maurice A. de Gosson.
title_auth Quantum Harmonic Analysis : An Introduction /
title_alt Frontmatter --
Contents --
Preface --
Introduction --
1 Preliminaries --
2 Displacements and reflections --
3 The cross-Wigner transform --
4 Gaussians and hermite functions --
5 The Weyl transform --
6 The Cohen class --
7 Born–Jordan quantization --
8 Metaplectic operators --
9 The property of symplectic covariance --
10 The Feichtinger algebra --
11 Hilbert–Schmidt operators --
12 The trace class --
13 The quantum Bochner theorem --
14 The density operator --
15 The uncertainty principle --
16 Separability and entanglement --
17 Separability of Gaussian states --
Bibliography --
Index
title_new Quantum Harmonic Analysis :
title_sort quantum harmonic analysis : an introduction /
series Advances in Analysis and Geometry ,
series2 Advances in Analysis and Geometry ,
publisher De Gruyter,
publishDate 2021
physical 1 online resource (XVIII, 222 p.)
Issued also in print.
contents Frontmatter --
Contents --
Preface --
Introduction --
1 Preliminaries --
2 Displacements and reflections --
3 The cross-Wigner transform --
4 Gaussians and hermite functions --
5 The Weyl transform --
6 The Cohen class --
7 Born–Jordan quantization --
8 Metaplectic operators --
9 The property of symplectic covariance --
10 The Feichtinger algebra --
11 Hilbert–Schmidt operators --
12 The trace class --
13 The quantum Bochner theorem --
14 The density operator --
15 The uncertainty principle --
16 Separability and entanglement --
17 Separability of Gaussian states --
Bibliography --
Index
isbn 9783110722772
9783110750720
9783110750706
9783110754001
9783110753776
9783110754131
9783110753905
9783110722901
9783110722611
issn 2511-0438 ;
callnumber-first Q - Science
callnumber-subject QC - Physics
callnumber-label QC174
callnumber-sort QC 3174.123 H67 42021
url https://doi.org/10.1515/9783110722772
https://www.degruyter.com/isbn/9783110722772
https://www.degruyter.com/document/cover/isbn/9783110722772/original
illustrated Not Illustrated
dewey-hundreds 500 - Science
dewey-tens 530 - Physics
dewey-ones 530 - Physics
dewey-full 530.12
dewey-sort 3530.12
dewey-raw 530.12
dewey-search 530.12
doi_str_mv 10.1515/9783110722772
oclc_num 1262308303
work_keys_str_mv AT gossonmauriceade quantumharmonicanalysisanintroduction
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ids_txt_mv (DE-B1597)571077
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Title is part of eBook package: De Gruyter DG Plus DeG Package 2021 Part 1
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2021 English
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2021
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2021 English
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2021
is_hierarchy_title Quantum Harmonic Analysis : An Introduction /
container_title Title is part of eBook package: De Gruyter DG Ebook Package English 2021
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