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Large-order behaviour of perturbation theory /
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 mod...
| Clasificación: | Libro Electrónico |
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| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Amsterdam ; New York :
North-Holland : Sole distributors in USA and Canada Elsevier Science Pub. Co.,
1990.
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| Colección: | Current physics--sources and comments ;
7. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo |
| Sumario: | 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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| Descripción Física: | 1 online resource (xiv, 580 pages) : illustrations |
| Bibliografía: | Includes bibliographical references. |
| ISBN: | 0444885978 9780444885975 1299541127 9781299541122 |