Overview
- 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
Part of the book series: Lecture Notes in Physics (LNP, volume 938)
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Table of contents (6 chapters)
Keywords
About this book
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.
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Authors and Affiliations
About the author
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.
Bibliographic Information
Book Title: Green’s Functions in Classical Physics
Authors: Tom Rother
Series Title: Lecture Notes in Physics
DOI: https://doi.org/10.1007/978-3-319-52437-5
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer International Publishing AG 2017
Softcover ISBN: 978-3-319-52436-8Published: 28 April 2017
eBook ISBN: 978-3-319-52437-5Published: 27 April 2017
Series ISSN: 0075-8450
Series E-ISSN: 1616-6361
Edition Number: 1
Number of Pages: XI, 267
Number of Illustrations: 44 b/w illustrations, 1 illustrations in colour
Topics: Mathematical Methods in Physics, Mathematical Physics, Theoretical and Applied Mechanics, Mathematical Applications in the Physical Sciences, Planetary Sciences, Elementary Particles, Quantum Field Theory