A modern approach to functional integration
This text takes advantage of recent developments in the theory of path integration to provide an improved treatment of quantization of systems that either have no constraints or instead involve constraints with demonstratively improved procedures. Strong emphasis is placed on the coherent state form...
সংরক্ষণ করুন:
| প্রধান লেখক: | |
|---|---|
| বিন্যাস: | Livre numérique |
| ভাষা: | Anglais |
| প্রকাশিত: |
Boston, MA :
Birkhäuser Boston
[20..].
Cham : Springer Nature |
| সংস্করন: | 1st ed. 2011. |
| মালা: | Applied and Numerical Harmonic Analysis
|
| বিষয়গুলি: | |
| অনলাইন ব্যবহার করুন: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| টীকা: |
Description d'après consultation du 23 avril 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • A modern approach to functional integration, John R. Klauder, Boston, Birkhäuser Boston, Springer e-books, 2011, Applied and Numerical Harmonic Analysis, 978-0-8176-4790-2 • A Modern Approach to Functional Integration, Texte imprimé, 9780817672447 |
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| 084 | |a 28-XX. 2010 | ||
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| 100 | 1 | |a Klauder, John R., |d 1932-2024, |c physicien-théoricien. | |
| 245 | 1 | 0 | |a A modern approach to functional integration |c John R. Klauder. |
| 250 | |a 1st ed. 2011. | ||
| 260 | |a Boston, MA : |b Birkhäuser Boston. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Applied and Numerical Harmonic Analysis |x 2296-5017 | |
| 500 | |a Description d'après consultation du 23 avril 2012 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. p. 269-273 Index p. 274-278 | ||
| 505 | 1 | |a Preface Introduction Part I: Stochastic Theory Probability Infinite-Dimensional Integrals Stochastic Variable Theory Part II: Quantum Theory Background to an Analysis of Quantum Mechanics Quantum Mechanical Path Integrals Coherent State Path Integrals Continuous-Time Regularized Path Integrals Classical and Quantum Constraints Part III: Quantum Field Theory Application to Quantum Field Theory A Modern Approach to Nonrenormalizable Models References Index. | |
| 505 | 0 | |a Preface -- Introduction -- Part I: Stochastic Theory -- Probability -- Infinite-Dimensional Integrals -- Stochastic Variable Theory -- Part II: Quantum Theory -- Background to an Analysis of Quantum Mechanics -- Quantum Mechanical Path Integrals -- Coherent State Path Integrals -- Continuous-Time Regularized Path Integrals -- Classical and Quantum Constraints -- Part III: Quantum Field Theory -- Application to Quantum Field Theory -- A Modern Approach to Nonrenormalizable Models -- References -- Index | |
| 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 This text takes advantage of recent developments in the theory of path integration to provide an improved treatment of quantization of systems that either have no constraints or instead involve constraints with demonstratively improved procedures. Strong emphasis is placed on the coherent state form of the path integral, which typically is only briefly mentioned in the textbook literature. Also of prime importance, a key focus of the book will be on the projection operator method of enforcing quantum constraints. Additionally, several novel proposals are introduced to deal with highly singular quantum field theories. The modern treatment used by the author is an attempt to make a major paradigm shift in how the art of functional integration is practiced. The techniques developed in the work will prove valuable to graduate students and researchers in physics, chemistry, mathematical physics, and applied mathematics who find it necessary to deal with solutions to wave equations, both quantum and beyond. Key topics and features: * A thorough grounding in the Gold Standard of path integrals: the Wiener measure * Formulation of all path integral construction from abstract principles * A review of coherent state fundamentals * A critical comparison of several path integral versions with emphasis on the virtues of the coherent state version * A construction of the Wiener-measure regularized phase space path integral, its emergence as a coherent state path integral, and its superior definition and connection to the classical theory underlying the quantization * A review of classical and quantum constraints and some of their traditional treatments * Introduction of the projection operator method to deal with quantum constraints, its many virtues as compared to traditional methods, and how it can be incorporated into a conventional or coherent state phase space path integral * An extension of the book s principal discussion into the realm of quantum field theory with a special emphasis on highly singular examples A Modern Approach to Functional Integration offers insight into these contemporary research topics, which may lead to improved methods and results that cannot be found elsewhere in the textbook literature. Exercises are included in most chapters, making the book suitable for a one-semester graduate course on functional integration; prerequisites consist mostly of some basic knowledge of quantum mechanics | ||
| 650 | |a Analyse fonctionnelle | ||
| 650 | |a Équations aux dérivées partielles | ||
| 650 | |a Théorie quantique | ||
| 765 | 0 | |0 169319385 |t A modern approach to functional integration |f John R. Klauder |c Boston |n Birkhäuser Boston |n Springer e-books |d 2011 |s Applied and Numerical Harmonic Analysis |z 978-0-8176-4790-2 | |
| 776 | 0 | |0 169319385 |t A modern approach to functional integration |f John R. Klauder |c Boston |n Birkhäuser Boston |n Springer e-books |d 2011 |s Applied and Numerical Harmonic Analysis |z 978-0-8176-4790-2 | |
| 776 | 0 | |t A Modern Approach to Functional Integration |b Texte imprimé |z 9780817672447 | |
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