Large-order behaviour of perturbation theory:
Gespeichert in:
| Format: | Elektronisch E-Book |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Amsterdam
North-Holland
1990
|
| Schriftenreihe: | Current physics--sources and comments
7 |
| Schlagworte: | |
| Online-Zugang: | FAW01 Volltext |
| Beschreibung: | Includes bibliographical references This volume is concerned with the determination of the behaviour of perturbation theory at large orders in quantum mechanics and quantum field theory, and its application to the problem of summation of perturbation series. Perturbation series in quantum field theory and in many quantum mechanics models are only asymptotic and thus diverge for all values of the expansion parameter. Their behaviour at large orders provides information about whether they define the theory uniquely (the problem of Borel summability). It suggests methods to extract numerical information from the series when the expansion parameter is not small. The articles reprinted here deal with the explicit evaluation of large-order behaviour in many quantum mechanics and field theory models. The large-order behaviour is related to barrier penetration effects for unphysical values of the expansion parameter, which can be calculated by WKB or instanton methods. The calculation of critical exponents of & fgr;4 field theory is presented as a practical application |
| Beschreibung: | 1 Online-Ressource (xiv, 580 pages) |
| ISBN: | 0444885943 0444885978 1299541127 9780444885944 9780444885975 9781299541122 |
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| 245 | 1 | 0 | |a Large-order behaviour of perturbation theory |c editors, J.C. Le Guillou and J. Zinn-Justin |
| 264 | 1 | |a Amsterdam |b North-Holland |c 1990 | |
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| 490 | 0 | |a Current physics--sources and comments |v 7 | |
| 500 | |a Includes bibliographical references | ||
| 500 | |a This volume is concerned with the determination of the behaviour of perturbation theory at large orders in quantum mechanics and quantum field theory, and its application to the problem of summation of perturbation series. Perturbation series in quantum field theory and in many quantum mechanics models are only asymptotic and thus diverge for all values of the expansion parameter. Their behaviour at large orders provides information about whether they define the theory uniquely (the problem of Borel summability). It suggests methods to extract numerical information from the series when the expansion parameter is not small. The articles reprinted here deal with the explicit evaluation of large-order behaviour in many quantum mechanics and field theory models. The large-order behaviour is related to barrier penetration effects for unphysical values of the expansion parameter, which can be calculated by WKB or instanton methods. The calculation of critical exponents of & fgr;4 field theory is presented as a practical application | ||
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Datensatz im Suchindex
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| dewey-full | 530.1/2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.1/2 |
| dewey-search | 530.1/2 |
| dewey-sort | 3530.1 12 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
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| id | DE-604.BV042312384 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:18:06Z |
| institution | BVB |
| isbn | 0444885943 0444885978 1299541127 9780444885944 9780444885975 9781299541122 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027749375 |
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| owner_facet | DE-1046 |
| physical | 1 Online-Ressource (xiv, 580 pages) |
| psigel | ZDB-33-ESD ZDB-33-ESD FAW_PDA_ESD |
| publishDate | 1990 |
| publishDateSearch | 1990 |
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| series2 | Current physics--sources and comments |
| spelling | Large-order behaviour of perturbation theory editors, J.C. Le Guillou and J. Zinn-Justin Amsterdam North-Holland 1990 1 Online-Ressource (xiv, 580 pages) txt rdacontent c rdamedia cr rdacarrier Current physics--sources and comments 7 Includes bibliographical references This volume is concerned with the determination of the behaviour of perturbation theory at large orders in quantum mechanics and quantum field theory, and its application to the problem of summation of perturbation series. Perturbation series in quantum field theory and in many quantum mechanics models are only asymptotic and thus diverge for all values of the expansion parameter. Their behaviour at large orders provides information about whether they define the theory uniquely (the problem of Borel summability). It suggests methods to extract numerical information from the series when the expansion parameter is not small. The articles reprinted here deal with the explicit evaluation of large-order behaviour in many quantum mechanics and field theory models. The large-order behaviour is related to barrier penetration effects for unphysical values of the expansion parameter, which can be calculated by WKB or instanton methods. The calculation of critical exponents of & fgr;4 field theory is presented as a practical application Differential equations Perturbation (Quantum dynamics) fast Quantenmechanik swd Störungstheorie swd Perturbation (Quantum dynamics) Ordnung n (DE-588)4322729-6 gnd rswk-swf Störungstheorie (DE-588)4128420-3 gnd rswk-swf Quantenfeldtheorie (DE-588)4047984-5 gnd rswk-swf Quantenmechanik (DE-588)4047989-4 gnd rswk-swf Quantenfeldtheorie (DE-588)4047984-5 s Störungstheorie (DE-588)4128420-3 s Ordnung n (DE-588)4322729-6 s 1\p DE-604 Quantenmechanik (DE-588)4047989-4 s 2\p DE-604 Le Guillou, Jean-Claude 1939- Sonstige (DE-588)115816145X oth Zinn-Justin, Jean 1943- Sonstige (DE-588)1048643522 oth Erscheint auch als Druck-Ausgabe, Paperback 978-0-444-88597-5 http://www.sciencedirect.com/science/book/9780444885975 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Large-order behaviour of perturbation theory Differential equations Perturbation (Quantum dynamics) fast Quantenmechanik swd Störungstheorie swd Perturbation (Quantum dynamics) Ordnung n (DE-588)4322729-6 gnd Störungstheorie (DE-588)4128420-3 gnd Quantenfeldtheorie (DE-588)4047984-5 gnd Quantenmechanik (DE-588)4047989-4 gnd |
| subject_GND | (DE-588)4322729-6 (DE-588)4128420-3 (DE-588)4047984-5 (DE-588)4047989-4 |
| title | Large-order behaviour of perturbation theory |
| title_auth | Large-order behaviour of perturbation theory |
| title_exact_search | Large-order behaviour of perturbation theory |
| title_full | Large-order behaviour of perturbation theory editors, J.C. Le Guillou and J. Zinn-Justin |
| title_fullStr | Large-order behaviour of perturbation theory editors, J.C. Le Guillou and J. Zinn-Justin |
| title_full_unstemmed | Large-order behaviour of perturbation theory editors, J.C. Le Guillou and J. Zinn-Justin |
| title_short | Large-order behaviour of perturbation theory |
| title_sort | large order behaviour of perturbation theory |
| topic | Differential equations Perturbation (Quantum dynamics) fast Quantenmechanik swd Störungstheorie swd Perturbation (Quantum dynamics) Ordnung n (DE-588)4322729-6 gnd Störungstheorie (DE-588)4128420-3 gnd Quantenfeldtheorie (DE-588)4047984-5 gnd Quantenmechanik (DE-588)4047989-4 gnd |
| topic_facet | Differential equations Perturbation (Quantum dynamics) Quantenmechanik Störungstheorie Ordnung n Quantenfeldtheorie |
| url | http://www.sciencedirect.com/science/book/9780444885975 |
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