Quantum fields and processes: a combinatorial approach
Wick ordering of creation and annihilation operators is of fundamental importance for computing averages and correlations in quantum field theory and, by extension, in the Hudson–Parthasarathy theory of quantum stochastic processes, quantum mechanics, stochastic processes, and probability. This book...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2018
|
| Schriftenreihe: | Cambridge studies in advanced mathematics
171 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 UBA01 UBR01 Volltext |
| Zusammenfassung: | Wick ordering of creation and annihilation operators is of fundamental importance for computing averages and correlations in quantum field theory and, by extension, in the Hudson–Parthasarathy theory of quantum stochastic processes, quantum mechanics, stochastic processes, and probability. This book develops the unified combinatorial framework behind these examples, starting with the simplest mathematically, and working up to the Fock space setting for quantum fields. Emphasizing ideas from combinatorics such as the role of lattice of partitions for multiple stochastic integrals by Wallstrom–Rota and combinatorial species by Joyal, it presents insights coming from quantum probability. It also introduces a 'field calculus' which acts as a succinct alternative to standard Feynman diagrams and formulates quantum field theory (cumulant moments, Dyson–Schwinger equation, tree expansions, 1-particle irreducibility) in this language. Featuring many worked examples, the book is aimed at mathematical physicists, quantum field theorists, and probabilists, including graduate and advanced undergraduate students |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 04 Apr 2018) |
| Beschreibung: | 1 online resource (xv, 324 Seiten) |
| DOI: | 10.1017/9781108241885 |
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Datensatz im Suchindex
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| author | Gough, John 1967- Kupsch, Joachim 1939- |
| author_GND | (DE-588)1156624479 (DE-588)135981980 |
| author_facet | Gough, John 1967- Kupsch, Joachim 1939- |
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| dewey-ones | 530 - Physics |
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| discipline | Physik |
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| id | DE-604.BV045019104 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T08:06:57Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030404352 |
| oclc_num | 1035197891 |
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| physical | 1 online resource (xv, 324 Seiten) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO ZDB-20-CBO UBR Einzelkauf (Lückenergänzung CUP Serien 2018) |
| publishDate | 2018 |
| publishDateSearch | 2018 |
| publishDateSort | 2018 |
| publisher | Cambridge University Press |
| record_format | marc |
| series | Cambridge studies in advanced mathematics |
| series2 | Cambridge studies in advanced mathematics |
| spelling | Gough, John 1967- Verfasser (DE-588)1156624479 aut Quantum fields and processes a combinatorial approach John Gough, Aberystwyth University, Joachim Kupsch, University of Kaiserslautern Cambridge Cambridge University Press 2018 1 online resource (xv, 324 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge studies in advanced mathematics 171 Title from publisher's bibliographic system (viewed on 04 Apr 2018) Wick ordering of creation and annihilation operators is of fundamental importance for computing averages and correlations in quantum field theory and, by extension, in the Hudson–Parthasarathy theory of quantum stochastic processes, quantum mechanics, stochastic processes, and probability. This book develops the unified combinatorial framework behind these examples, starting with the simplest mathematically, and working up to the Fock space setting for quantum fields. Emphasizing ideas from combinatorics such as the role of lattice of partitions for multiple stochastic integrals by Wallstrom–Rota and combinatorial species by Joyal, it presents insights coming from quantum probability. It also introduces a 'field calculus' which acts as a succinct alternative to standard Feynman diagrams and formulates quantum field theory (cumulant moments, Dyson–Schwinger equation, tree expansions, 1-particle irreducibility) in this language. Featuring many worked examples, the book is aimed at mathematical physicists, quantum field theorists, and probabilists, including graduate and advanced undergraduate students Combinatorial analysis Quantum field theory Probabilities Kombinatorische Analysis (DE-588)4164746-4 gnd rswk-swf Quantenstatistik (DE-588)4047991-2 gnd rswk-swf Quantenfeldtheorie (DE-588)4047984-5 gnd rswk-swf Quantenfeldtheorie (DE-588)4047984-5 s Quantenstatistik (DE-588)4047991-2 s DE-604 Kombinatorische Analysis (DE-588)4164746-4 s Kupsch, Joachim 1939- Verfasser (DE-588)135981980 aut Erscheint auch als Druck-Ausgabe, hardback 9781108416764 Cambridge studies in advanced mathematics 171 (DE-604)BV044781283 171 https://doi.org/10.1017/9781108241885 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Gough, John 1967- Kupsch, Joachim 1939- Quantum fields and processes a combinatorial approach Cambridge studies in advanced mathematics Combinatorial analysis Quantum field theory Probabilities Kombinatorische Analysis (DE-588)4164746-4 gnd Quantenstatistik (DE-588)4047991-2 gnd Quantenfeldtheorie (DE-588)4047984-5 gnd |
| subject_GND | (DE-588)4164746-4 (DE-588)4047991-2 (DE-588)4047984-5 |
| title | Quantum fields and processes a combinatorial approach |
| title_auth | Quantum fields and processes a combinatorial approach |
| title_exact_search | Quantum fields and processes a combinatorial approach |
| title_full | Quantum fields and processes a combinatorial approach John Gough, Aberystwyth University, Joachim Kupsch, University of Kaiserslautern |
| title_fullStr | Quantum fields and processes a combinatorial approach John Gough, Aberystwyth University, Joachim Kupsch, University of Kaiserslautern |
| title_full_unstemmed | Quantum fields and processes a combinatorial approach John Gough, Aberystwyth University, Joachim Kupsch, University of Kaiserslautern |
| title_short | Quantum fields and processes |
| title_sort | quantum fields and processes a combinatorial approach |
| title_sub | a combinatorial approach |
| topic | Combinatorial analysis Quantum field theory Probabilities Kombinatorische Analysis (DE-588)4164746-4 gnd Quantenstatistik (DE-588)4047991-2 gnd Quantenfeldtheorie (DE-588)4047984-5 gnd |
| topic_facet | Combinatorial analysis Quantum field theory Probabilities Kombinatorische Analysis Quantenstatistik Quantenfeldtheorie |
| url | https://doi.org/10.1017/9781108241885 |
| volume_link | (DE-604)BV044781283 |
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