Mathematical theory of Feynman path integrals : an introduction
Feynman path integrals, suggested heuristically by Feynman in the 40s, have become the basis of much of contemporary physics, from non-relativistic quantum mechanics to quantum fields, including gauge fields, gravitation, cosmology. Recently ideas based on Feynman path integrals have also played an...
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| Główni autorzy: | , , |
|---|---|
| Format: | Livre numérique |
| Język: | Anglais |
| Wydane: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Wydanie: | Version électronique de la seconde édition corrigée et augmentée. |
| Seria: | Lecture Notes in Mathematics
523 |
| Hasła przedmiotowe: | |
| Dostęp online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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L'impression du document génère 183 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Mathematical theory of Feynman path integrals, an introduction, Sergio A. Albeverio, Raphael J. Høegh-Krohn, Sonia Mazzucchi, 2nd corrected and enlarged edition, 2008, Berlin, Springer, 1 vol. (X-175 p.), Lecture notes in mathematics, 978-3-540-76954-5 • Mathematical Theory of Feynman Path Integrals, Texte imprimé, 9783540848646 • Mathematical theory of Feynman path integrals, an introduction, Sergio A. Albeverio, Raphael J. Høegh-Krohn, Sonia Mazzucchi, 2nd corrected and enlarged edition, 2008, Berlin, Springer, 1 vol. (X-175 p.), Lecture notes in mathematics, 978-3-540-76954-5 |
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| 008 | 080829q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN127048685 | ||
| 020 | |a 9783540769569 | ||
| 041 | 0 | |a eng | |
| 082 | |a 515.42 | ||
| 082 | |a 510 | ||
| 082 | |a 515.43 | ||
| 084 | |a 81S40. 2010 | ||
| 084 | |a 81Q30. 2010 | ||
| 084 | |a 46G12. 2010 | ||
| 084 | |a 58D30. 2010 | ||
| 084 | |a 28C20. 2010 | ||
| 084 | |a 47N50. 2010 | ||
| 100 | 1 | |a Albeverio, Sergio, |d 1936- | |
| 245 | 1 | 0 | |a Mathematical theory of Feynman path integrals : |b an introduction |c Sergio A. Albeverio, Raphael J. Høegh-Krohn, Sonia Mazzucchi. |
| 250 | |a Version électronique de la seconde édition corrigée et augmentée. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 1 | |a Lecture Notes in Mathematics |v 523 |x 1617-9692 | |
| 500 | |a L'impression du document génère 183 p. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a Preface to the second edition Preface to the first edition 1.Introduction 2.The Fresnel Integral of Functions on a Separable Real Hilbert Spa 3.The Feynman Path Integral in Potential Scattering 4.The Fresnel Integral Relative to a Non-singular Quadratic Form 5.Feynman Path Integrals for the Anharmonic Oscillator 6.Expectations with Respect to the Ground State of the Harmonic Oscillator 7.Expectations with Respect to the Gibbs State of the Harmonic Oscillator 8.The Invariant Quasi-free States 9.The Feynman Hystory Integral for the Relativistic Quantum Boson Field 10.Some Recent Developments 10.1.The infinite dimensional oscillatory integral 10.2.Feynman path integrals for polynomially growing potentials 10.3.The semiclassical expansio 10.4.Alternative approaches to Feynman path integrals 10.4.1.Analytic continuation 10.4.2.White noise calculus 10.5.Recent applications 10.5.1.The Schroedinger equation with magnetic fields 10.5.2.The Schroedinger equation with time dependent potentials 10.5.3 .hase space Feynman path integrals 10.5.4.The stochastic Schroedinger equation 10.5.5.The Chern-Simons functional integral References of the first edition References of the second edition Analytic index List of Notations. | |
| 505 | 0 | |a Preface to the second edition -- Preface to the first edition -- 1.Introduction -- 2.The Fresnel Integral of Functions on a Separable Real Hilbert Spa -- 3.The Feynman Path Integral in Potential Scattering -- 4.The Fresnel Integral Relative to a Non-singular Quadratic Form -- 5.Feynman Path Integrals for the Anharmonic Oscillator -- 6.Expectations with Respect to the Ground State of the Harmonic Oscillator -- 7.Expectations with Respect to the Gibbs State of the Harmonic Oscillator -- 8.The Invariant Quasi-free States -- 9.The Feynman Hystory Integral for the Relativistic Quantum Boson Field -- 10.Some Recent Developments -- 10.1.The infinite dimensional oscillatory integral -- 10.2.Feynman path integrals for polynomially growing potentials -- 10.3.The semiclassical expansio -- 10.4.Alternative approaches to Feynman path integrals -- 10.4.1.Analytic continuation -- 10.4.2.White noise calculus -- 10.5.Recent applications -- 10.5.1.The Schroedinger equation with magnetic fields -- 10.5.2.The Schroedinger equation with time dependent potentials -- 10.5.3 .hase space Feynman path integrals -- 10.5.4.The stochastic Schroedinger equation -- 10.5.5.The Chern-Simons functional integral -- References of the first edition -- References of the second edition -- Analytic index -- List of Notations | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a Feynman path integrals, suggested heuristically by Feynman in the 40s, have become the basis of much of contemporary physics, from non-relativistic quantum mechanics to quantum fields, including gauge fields, gravitation, cosmology. Recently ideas based on Feynman path integrals have also played an important role in areas of mathematics like low-dimensional topology and differential geometry, algebraic geometry, infinite-dimensional analysis and geometry, and number theory. The 2nd edition of LNM 523 is based on the two first authors' mathematical approach of this theory presented in its 1st edition in 1976. To take care of the many developments since then, an entire new chapter on the current forefront of research has been added. Except for this new chapter and the correction of a few misprints, the basic material and presentation of the first edition has been maintained. At the end of each chapter the reader will also find notes with further bibliographical information | ||
| 650 | |a Champs, Théorie quantique des | ||
| 650 | |a Intégrales de Feynman | ||
| 650 | |a Théorie quantique | ||
| 650 | |a Probabilités | ||
| 650 | |a Mathématiques | ||
| 650 | |a Analyse globale (mathématiques) | ||
| 650 | |a Analyse fonctionnelle | ||
| 650 | |a Théorie des opérateurs | ||
| 650 | |a Théorie de la mesure | ||
| 700 | 1 | |a Höegh-Krohn, Raphael, |d 1938-1988. |4 aut | |
| 700 | 1 | |a Mazzucchi, Sonia, |d 1976- |4 aut | |
| 776 | 0 | |0 125315546 |t Mathematical theory of Feynman path integrals |o an introduction |f Sergio A. Albeverio, Raphael J. Høegh-Krohn, Sonia Mazzucchi |e 2nd corrected and enlarged edition |d 2008 |c Berlin |n Springer |p 1 vol. (X-175 p.) |s Lecture notes in mathematics |z 978-3-540-76954-5 | |
| 776 | 0 | |t Mathematical Theory of Feynman Path Integrals |b Texte imprimé |z 9783540848646 | |
| 776 | 0 | |0 125315546 |t Mathematical theory of Feynman path integrals |o an introduction |f Sergio A. Albeverio, Raphael J. Høegh-Krohn, Sonia Mazzucchi |e 2nd corrected and enlarged edition |d 2008 |c Berlin |n Springer |p 1 vol. (X-175 p.) |s Lecture notes in mathematics |z 978-3-540-76954-5 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-3-540-76956-9 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-0JKLHSGP-D |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:747860289 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/978-3-540-76956-9 |z Accès Université d'Orléans | |
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| 997 | |0 940477 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||