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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Rother, Tom (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2017.
Σειρά:Lecture Notes in Physics, 938
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
Πίνακας περιεχομένων:
  • 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.