Green’s Functions in Classical Physics
Buch in deiner Nähe kaufen
Beschreibung
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.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.
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
Autor*in
Tom Rother
Themen in »Green’s Functions in Classical Physics«
Solution of Partial Differential Equations in Physics Green’s function formalism Principle of Causality Principle of Reciprocity Scattering Effects Probability Experiments Double-Slit Experiment Kepler Motion
Stimmen zu »Green’s Functions in Classical Physics«
“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)
()