Green’s Functions in Classical Physics
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 func...
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cham :
Springer International Publishing : Imprint: Springer,
2017.
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| Series: | Lecture Notes in Physics,
938 |
| Subjects: | |
| Online Access: | Full Text via HEAL-Link |
Table of Contents:
- Prologue
- About the State of Physics
- Basic Structural Elements of Physics
- About Classical Physics and Quantum Mechanics
- Green's Functions of Classical Particles
- The Simple Harmonic Oscillator
- The Damped Harmonic Oscillator
- Elementary Motions of a Point Mass
- Lippmann-Schwinger Equation
- Two Systematic Ways to Derive Green's Functions
- Temporal Boundary Value Problem of the Harmonic Oscillator
- Two Simple Interaction Processes and Huygens' Principle
- Particle Scattering on a Rigid Sphere and Kepler Problem
- Green's Functions of Classical Fields
- Comments on the Field Concept
- The Elastic String
- Poisson Equations of Higher Dimensions
- Wave Equations of Higher Dimensions
- The Scalar Helmholtz Equation
- Scattering Problems
- Probability Experiments and Green's Functions in Classical Event Spaces
- Probability Experiments in a Two-Dimensional Event Space
- Probability Experiments in a Four-Dimensional Event Space
- Outlook or Something Like an End
- Classical Free Point Mass and Green's Function of the Diffusion Equation
- Schrödinger Equation of the Free Particle and Green's Function
- Classical Fokker-Planck Equation and Schrödinger Equation
- A Relation Between the Green's Functions of the Klein-Gordon- and Dirac Equation.
