Analysis on Fock spaces and mathematical theory of quantum fields: an introduction to mathematical analysis of quantum fields
"This book provides a comprehensive introduction to Fock space theory and its applications to mathematical quantum field theory. The first half of the book, Part I, is devoted to detailed descriptions of analysis on abstract Fock spaces (full Fock space, boson Fock space, fermion Fock space and...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Publishing Co. Pte Ltd.
© 2018
|
| Schlagworte: | |
| Online-Zugang: | URL des Erstveröffentlichers |
| Zusammenfassung: | "This book provides a comprehensive introduction to Fock space theory and its applications to mathematical quantum field theory. The first half of the book, Part I, is devoted to detailed descriptions of analysis on abstract Fock spaces (full Fock space, boson Fock space, fermion Fock space and boson-fermion Fock space). It includes the mathematics of second quantization, representation theory of canonical commutation relations and canonical anti-commutation relations, Bogoliubov transformations, infinite-dimensional Dirac operators and supersymmetric quantum field in an abstract form. The second half of the book, Part II, covers applications of the mathematical theories in Part I to quantum field theory. Four kinds of free quantum fields are constructed and detailed analyses are made. A simple interacting quantum field model, called the van Hove model, is fully analyzed in an abstract form. Moreover, a list of interacting quantum field models is presented and a short description to each model is given. To graduate students in mathematics or physics who are interested in the mathematical aspects of quantum field theory, this book is a good introductory text. It is also well suited for self-study and will provide readers a firm foundation of knowledge and mathematical techniques for reading more advanced books and current research articles in the field of mathematical analysis on quantum fields. Also, numerous problems are added to aid readers to develop a deeper understanding of the field."-- |
| Beschreibung: | Description based on online resource; title from PDF title page (viewed December 8, 2017) |
| Beschreibung: | 1 Online-Ressource (893 Seiten) Illustrationen |
| ISBN: | 9789813207127 |
Internformat
MARC
| LEADER | 00000nmm a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV047124518 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 210204s2018 |||| o||u| ||||||eng d | ||
| 020 | |a 9789813207127 |9 978-981-3207-12-7 | ||
| 024 | 7 | |a 10.1142/10367 |2 doi | |
| 035 | |a (ZDB-124-WOP)00010367 | ||
| 035 | |a (OCoLC)1237588414 | ||
| 035 | |a (DE-599)BVBBV047124518 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 082 | 0 | |a 530.1201/515733 |2 23 | |
| 100 | 1 | |a Arai, Asao |d 1954- |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Analysis on Fock spaces and mathematical theory of quantum fields |b an introduction to mathematical analysis of quantum fields |c Asao Arai |
| 264 | 1 | |a Singapore |b World Scientific Publishing Co. Pte Ltd. |c © 2018 | |
| 300 | |a 1 Online-Ressource (893 Seiten) |b Illustrationen | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 500 | |a Description based on online resource; title from PDF title page (viewed December 8, 2017) | ||
| 520 | |a "This book provides a comprehensive introduction to Fock space theory and its applications to mathematical quantum field theory. The first half of the book, Part I, is devoted to detailed descriptions of analysis on abstract Fock spaces (full Fock space, boson Fock space, fermion Fock space and boson-fermion Fock space). It includes the mathematics of second quantization, representation theory of canonical commutation relations and canonical anti-commutation relations, Bogoliubov transformations, infinite-dimensional Dirac operators and supersymmetric quantum field in an abstract form. The second half of the book, Part II, covers applications of the mathematical theories in Part I to quantum field theory. Four kinds of free quantum fields are constructed and detailed analyses are made. A simple interacting quantum field model, called the van Hove model, is fully analyzed in an abstract form. Moreover, a list of interacting quantum field models is presented and a short description to each model is given. To graduate students in mathematics or physics who are interested in the mathematical aspects of quantum field theory, this book is a good introductory text. It is also well suited for self-study and will provide readers a firm foundation of knowledge and mathematical techniques for reading more advanced books and current research articles in the field of mathematical analysis on quantum fields. Also, numerous problems are added to aid readers to develop a deeper understanding of the field."-- | ||
| 650 | 4 | |a Hilbert space | |
| 650 | 4 | |a Quantum theory | |
| 650 | 4 | |a Electronic books | |
| 856 | 4 | 0 | |u http://www.worldscientific.com/worldscibooks/10.1142/10367#t=toc |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
| 912 | |a ZDB-124-WOP | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-032530758 | ||
Datensatz im Suchindex
| _version_ | 1804182171374583808 |
|---|---|
| adam_txt | |
| any_adam_object | |
| any_adam_object_boolean | |
| author | Arai, Asao 1954- |
| author_facet | Arai, Asao 1954- |
| author_role | aut |
| author_sort | Arai, Asao 1954- |
| author_variant | a a aa |
| building | Verbundindex |
| bvnumber | BV047124518 |
| collection | ZDB-124-WOP |
| ctrlnum | (ZDB-124-WOP)00010367 (OCoLC)1237588414 (DE-599)BVBBV047124518 |
| dewey-full | 530.1201/515733 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.1201/515733 |
| dewey-search | 530.1201/515733 |
| dewey-sort | 3530.1201 6515733 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| discipline_str_mv | Physik |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02843nmm a2200361zc 4500</leader><controlfield tag="001">BV047124518</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">210204s2018 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9789813207127</subfield><subfield code="9">978-981-3207-12-7</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1142/10367</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-124-WOP)00010367</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1237588414</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV047124518</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">530.1201/515733</subfield><subfield code="2">23</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Arai, Asao</subfield><subfield code="d">1954-</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Analysis on Fock spaces and mathematical theory of quantum fields</subfield><subfield code="b">an introduction to mathematical analysis of quantum fields</subfield><subfield code="c">Asao Arai</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Singapore</subfield><subfield code="b">World Scientific Publishing Co. Pte Ltd.</subfield><subfield code="c">© 2018</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (893 Seiten)</subfield><subfield code="b">Illustrationen</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Description based on online resource; title from PDF title page (viewed December 8, 2017)</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">"This book provides a comprehensive introduction to Fock space theory and its applications to mathematical quantum field theory. The first half of the book, Part I, is devoted to detailed descriptions of analysis on abstract Fock spaces (full Fock space, boson Fock space, fermion Fock space and boson-fermion Fock space). It includes the mathematics of second quantization, representation theory of canonical commutation relations and canonical anti-commutation relations, Bogoliubov transformations, infinite-dimensional Dirac operators and supersymmetric quantum field in an abstract form. The second half of the book, Part II, covers applications of the mathematical theories in Part I to quantum field theory. Four kinds of free quantum fields are constructed and detailed analyses are made. A simple interacting quantum field model, called the van Hove model, is fully analyzed in an abstract form. Moreover, a list of interacting quantum field models is presented and a short description to each model is given. To graduate students in mathematics or physics who are interested in the mathematical aspects of quantum field theory, this book is a good introductory text. It is also well suited for self-study and will provide readers a firm foundation of knowledge and mathematical techniques for reading more advanced books and current research articles in the field of mathematical analysis on quantum fields. Also, numerous problems are added to aid readers to develop a deeper understanding of the field."--</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Hilbert space</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Quantum theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Electronic books</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">http://www.worldscientific.com/worldscibooks/10.1142/10367#t=toc</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-124-WOP</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-032530758</subfield></datafield></record></collection> |
| id | DE-604.BV047124518 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T16:30:25Z |
| indexdate | 2024-07-10T09:03:18Z |
| institution | BVB |
| isbn | 9789813207127 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032530758 |
| oclc_num | 1237588414 |
| open_access_boolean | |
| physical | 1 Online-Ressource (893 Seiten) Illustrationen |
| psigel | ZDB-124-WOP |
| publishDate | 2018 |
| publishDateSearch | 2018 |
| publishDateSort | 2018 |
| publisher | World Scientific Publishing Co. Pte Ltd. |
| record_format | marc |
| spelling | Arai, Asao 1954- Verfasser aut Analysis on Fock spaces and mathematical theory of quantum fields an introduction to mathematical analysis of quantum fields Asao Arai Singapore World Scientific Publishing Co. Pte Ltd. © 2018 1 Online-Ressource (893 Seiten) Illustrationen txt rdacontent c rdamedia cr rdacarrier Description based on online resource; title from PDF title page (viewed December 8, 2017) "This book provides a comprehensive introduction to Fock space theory and its applications to mathematical quantum field theory. The first half of the book, Part I, is devoted to detailed descriptions of analysis on abstract Fock spaces (full Fock space, boson Fock space, fermion Fock space and boson-fermion Fock space). It includes the mathematics of second quantization, representation theory of canonical commutation relations and canonical anti-commutation relations, Bogoliubov transformations, infinite-dimensional Dirac operators and supersymmetric quantum field in an abstract form. The second half of the book, Part II, covers applications of the mathematical theories in Part I to quantum field theory. Four kinds of free quantum fields are constructed and detailed analyses are made. A simple interacting quantum field model, called the van Hove model, is fully analyzed in an abstract form. Moreover, a list of interacting quantum field models is presented and a short description to each model is given. To graduate students in mathematics or physics who are interested in the mathematical aspects of quantum field theory, this book is a good introductory text. It is also well suited for self-study and will provide readers a firm foundation of knowledge and mathematical techniques for reading more advanced books and current research articles in the field of mathematical analysis on quantum fields. Also, numerous problems are added to aid readers to develop a deeper understanding of the field."-- Hilbert space Quantum theory Electronic books http://www.worldscientific.com/worldscibooks/10.1142/10367#t=toc Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Arai, Asao 1954- Analysis on Fock spaces and mathematical theory of quantum fields an introduction to mathematical analysis of quantum fields Hilbert space Quantum theory Electronic books |
| title | Analysis on Fock spaces and mathematical theory of quantum fields an introduction to mathematical analysis of quantum fields |
| title_auth | Analysis on Fock spaces and mathematical theory of quantum fields an introduction to mathematical analysis of quantum fields |
| title_exact_search | Analysis on Fock spaces and mathematical theory of quantum fields an introduction to mathematical analysis of quantum fields |
| title_exact_search_txtP | Analysis on Fock spaces and mathematical theory of quantum fields an introduction to mathematical analysis of quantum fields |
| title_full | Analysis on Fock spaces and mathematical theory of quantum fields an introduction to mathematical analysis of quantum fields Asao Arai |
| title_fullStr | Analysis on Fock spaces and mathematical theory of quantum fields an introduction to mathematical analysis of quantum fields Asao Arai |
| title_full_unstemmed | Analysis on Fock spaces and mathematical theory of quantum fields an introduction to mathematical analysis of quantum fields Asao Arai |
| title_short | Analysis on Fock spaces and mathematical theory of quantum fields |
| title_sort | analysis on fock spaces and mathematical theory of quantum fields an introduction to mathematical analysis of quantum fields |
| title_sub | an introduction to mathematical analysis of quantum fields |
| topic | Hilbert space Quantum theory Electronic books |
| topic_facet | Hilbert space Quantum theory Electronic books |
| url | http://www.worldscientific.com/worldscibooks/10.1142/10367#t=toc |
| work_keys_str_mv | AT araiasao analysisonfockspacesandmathematicaltheoryofquantumfieldsanintroductiontomathematicalanalysisofquantumfields |