Lecture Notes in Physics

Green’s Functions in Classical Physics

Autoren: Rother, Tom

Vorschau
  • Demonstrates how the Green’s functions approach can be useful in a variety of fields of classical physics 
  • Provides an overview of classical physics and a short outlook on quantum mechanics from a consistent Green’s function point of view
  • Concerns not only methodical and mathematical aspects of solving partial differential equations of physics, but also conceptual and epistemological aspects in physics in general  
  • Demonstrates that some aspects discussed so far only in modern physics (quantum mechanics, quantum statistics, etc.) can be transferred with benefit also to the physics of classical particles and fields
Weitere Vorteile

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  • ISBN 978-3-319-52437-5
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Über dieses Buch

This book presents the Green’s function formalism in a basic way and demonstrates its usefulness for applications to several well-known problems in classical physics which are usually solved not by this formalism but other approaches. The book bridges the gap between applications of the Green’s function formalism in quantum physics and classical physics. This book is written as an introduction for graduate students and researchers who want to become more familiar with the Green’s function formalism. 

In 1828 George Green has published an essay that was unfortunately sunken into oblivion shortly after its publication. It was rediscovered only after several years by the later Lord Kelvin. But since this time, using Green’s functions for solving partial differential equations in physics has become an important mathematical tool. While the conceptual and epistemological importance of these functions were essentially discovered and discussed in modern physics - especially in quantum field theory and quantum statistics - these aspects are rarely touched in classical physics. In doing it, this book provides an interesting and sometimes new point of view on several aspects and problems in classical physics, like the Kepler motion or the description of certain classical probability experiments in finite event spaces. A short outlook on quantum mechanical problems concludes this book. 

Über die Autor*innen

Dr. Tom Rother was born in 1957 in Wolfen, Germany. He received the Dr. rer. nat. and Dr. habil. degrees from the University of Greifswald in 1987 and 1999. Since 1987, he has been with the German Aerospace Center. In 1990, he received the Young Scientist Scholarship of the URSI, and in 1991 a special grant of the Alexander von Humboldt Foundation. He is a Senior Scientist of the German Aerospace Center since 2004. Dr. Rother’s research interests are in quantum statistics of charged particle systems, in electromagnetic wave theory, and in quantum optics. With Springer he has published 2 books on electromagnetic wave scattering on nonspherical particles.

Stimmen zum Buch

“This book serves as a valuable and self-contained introduction for those who want to become more familiar with GFs and their importance and usage in classical physics” (Nikolaos L. Tsitsas, Mathematical Reviews, June, 2018)

Inhaltsverzeichnis (6 Kapitel)

Inhaltsverzeichnis (6 Kapitel)

Dieses Buch kaufen

eBook 37,44 €
Preis für Deutschland (Brutto)
  • ISBN 978-3-319-52437-5
  • Versehen mit digitalem Wasserzeichen, DRM-frei
  • Erhältliche Formate: EPUB, PDF
  • Sofortiger eBook Download nach Kauf und auf allen Endgeräten nutzbar
  • Mengenrabatt verfügbar
Softcover 48,14 €
Preis für Deutschland (Brutto)
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Bibliografische Information

Bibliographic Information
Buchtitel
Green’s Functions in Classical Physics
Autoren
Titel der Buchreihe
Lecture Notes in Physics
Buchreihen Band
938
Copyright
2017
Verlag
Springer International Publishing
Copyright Inhaber
Springer International Publishing AG
eBook ISBN
978-3-319-52437-5
DOI
10.1007/978-3-319-52437-5
Softcover ISBN
978-3-319-52436-8
Buchreihen ISSN
0075-8450
Auflage
1
Seitenzahl
XI, 267
Anzahl der Bilder
44 schwarz-weiß Abbildungen, 1 Abbildungen in Farbe
Themen