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Functional Analysis and the Feynman Operator Calculus
This book provides the mathematical foundations for Feynman's operator calculus and for the Feynman path integral formulation of quantum mechanics as a natural extension of analysis and functional analysis to the infinite-dimensional setting. In one application, the results are used to prove th...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cham :
Springer International Publishing : Imprint: Springer,
2016.
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| Edición: | 1st ed. 2016. |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 001 | 978-3-319-27595-6 | ||
| 003 | DE-He213 | ||
| 005 | 20220117044133.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 160330s2016 sz | s |||| 0|eng d | ||
| 020 | |a 9783319275956 |9 978-3-319-27595-6 | ||
| 024 | 7 | |a 10.1007/978-3-319-27595-6 |2 doi | |
| 050 | 4 | |a QA319-329.9 | |
| 072 | 7 | |a PBKF |2 bicssc | |
| 072 | 7 | |a MAT037000 |2 bisacsh | |
| 072 | 7 | |a PBKF |2 thema | |
| 082 | 0 | 4 | |a 515.7 |2 23 |
| 100 | 1 | |a Gill, Tepper. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Functional Analysis and the Feynman Operator Calculus |h [electronic resource] / |c by Tepper Gill, Woodford Zachary. |
| 250 | |a 1st ed. 2016. | ||
| 264 | 1 | |a Cham : |b Springer International Publishing : |b Imprint: Springer, |c 2016. | |
| 300 | |a XIX, 354 p. 3 illus. in color. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 505 | 0 | |a Preliminary Background -- Integration on Infinite-dimensional Spaces -- HK-Integral and HK-Spaces -- Analysis on Hilbert Space -- Operators on Banach Space -- Spaces of von Neumann Type -- The Feynman Operator Calculus -- Applications of the Feynman Calculus. | |
| 520 | |a This book provides the mathematical foundations for Feynman's operator calculus and for the Feynman path integral formulation of quantum mechanics as a natural extension of analysis and functional analysis to the infinite-dimensional setting. In one application, the results are used to prove the last two remaining conjectures of Freeman Dyson for quantum electrodynamics. In another application, the results are used to unify methods and weaken domain requirements for non-autonomous evolution equations. Other applications include a general theory of Lebesgue measure on Banach spaces with a Schauder basis and a new approach to the structure theory of operators on uniformly convex Banach spaces. This book is intended for advanced graduate students and researchers. | ||
| 650 | 0 | |a Functional analysis. | |
| 650 | 0 | |a Mathematical physics. | |
| 650 | 0 | |a Operator theory. | |
| 650 | 1 | 4 | |a Functional Analysis. |
| 650 | 2 | 4 | |a Mathematical Methods in Physics. |
| 650 | 2 | 4 | |a Operator Theory. |
| 700 | 1 | |a Zachary, Woodford. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783319275932 |
| 776 | 0 | 8 | |i Printed edition: |z 9783319275949 |
| 776 | 0 | 8 | |i Printed edition: |z 9783319801803 |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-319-27595-6 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||