Electromagnetic Processes

Name: Electromagnetic Processes
Brand: Princeton University Press
Price: 97.99 EUR
Availability: OnlineOnly

Robert J. Gould(Autor*in)

Princeton University Press

1. Auflage

Erschienen am 21. Juli 2020

312 Seiten

E-Book

PDF mit Wasserzeichen-DRM

Systemvoraussetzungen

978-0-691-21584-6 (ISBN)

97,99 €inkl. 7% MwSt.

Systemvoraussetzungen

für PDF mit Wasserzeichen-DRM

E-Book Einzellizenz

Als Download verfügbar

Beschreibung

Weitere Details

Weitere Ausgaben

Person

Inhalt

Cover Page
Half-title Page
Title Page
Copyright Page
Contents
Preface
Chapter 1. Some Fundamental Principles
1.1 Units and Characteristic Lengths, Times, Energies, Etc.
1.2 Relativistic Covariance and Relativistic Invariants
1.2.1 Spacetime Transformation
1.2.2 Other Four-Vectors and Tensors-Covariance
1.2.3 Some Useful and Important Invariants
1.2.4 Covariant Mechanics and Electrodynamics
1.3 Kinematic Effects
1.3.1 Threshold Energies in Non-Relativistic and Relativistic Processes
1.3.2 Transformations of Angular Distributions
1.4 Binary Collision Rates
1.5 Phase-Space Factors
1.5.1 Introduction
1.5.2 Simple Examples
1.5.3 General Theorems-Formulation
1.5.4 General Formulas-Evaluation of Multiple Integrals
1.5.5 One-Particle Distributions
1.5.6 Invariant Phase Space
Chapter 2. Classical Electrodynamics
2.1 Retarded Potentials
2.1.1 Fields, Potentials, and Gauges
2.1.2 Retarded Potentials in the Lorentz Gauge
2.2 Multipole Expansion of the Radiation Field
2.2.1 Vector Potential and Retardation Expansion
2.2.2 Multipole Radiated Power
2.3 Fourier Spectra
2.4 Fields of a Charge in Relativistic Motion
2.4.1 Lienard-Wiechert Potentials
2.4.2 Charge in Uniform Motion
2.4.3 Fields of an Accelerated Charge
2.5 Radiation from a Relativistic Charge
2.6 Radiation Reaction
2.6.1 Non-Relativistic Limit
2.6.2 Relativistic Theory: Lorentz-Dirac Equation
2.7 Soft-Photon Emission
2.7.1 Multipole Formulation
2.7.2 Dipole Formula
2.7.3 Emission from Relativistic Particles
2.8 Weizsacker-Williams Method
2.8.1 Fields of a Moving Charge
2.8.2 Equivalent Photon Fluxes
2.9 Absorption and Stimulated Emission
2.9.1 Relation to Spontaneous Emission
2.9.2 General Multiphoton Formula
2.9.3 Stimulated Scattering
Chapter 3. Quantum Electrodynamics
3.1 Brief Historical Sketch
3.2 Relationship with Classical Electrodynamics
3.3 Non-Relativistic Formulation
3.3.1 Introductory Remarks
3.3.2 Classical Interaction Hamiltonian
3.3.3 Quantum-Mechanical Interaction Hamiltonian
3.3.4 Perturbation Theory
3.3.5 Processes, Vertices, and Diagrams
3.4 Relativistic Theory
3.4.1 Modifications of the Non-Covariant Formulation
3.4.2 Photon Interactions with Charges without Spin
3.4.3 Spin- Interactions
3.4.4 Invariant Transition Rate
3.5 Soft-Photon Emission
3.5.1 Non-Relativistic Limit
3.5.2 Emission from Spin Transitions
3.5.3 Relativistic Particles without Spin
3.5.4 Relativistic Spin-± Particles
3.6 Special Features of Electromagnetic Processes
3.6.1 "Order" of a Process
3.6.2 Radiative Corrections and Renormalization
3.6.3 Kinematic Invariants
3.6.4 Crossing Symmetry
Chapter 4. Elastic Scattering of Charged Particles
4.1 Classical Coulomb Scattering
4.1.1 Small-Angle Scattering
4.1.2 General Case
4.1.3 Two-Body Problem-Relative Motion
4.1.4 Validity of the Classical Limit
4.2 Non-Relativistic Born Approximation and Exact Treatment
4.2.1 Perturbation-Theory Formulation
4.2.2 Sketch of Exact Theory
4.2.3 Two-Body Problem
4.2.4 Scattering of Identical Particles
4.2.5 Validity of the Born Approximation
4.3 Scattering of Relativistic Particles of Zero Spin
4.3.1 Coulomb Scattering
4.3.2 Scattering of Two Distinguishable Charges
4.3.3 Two Identical Charges
4.3.4 Scattering of Charged Antiparticles
4.4 Scattering of Relativistic Spin-Particles
4.4.1 Spin Sums, Projection Operators, and Trace Theorems
4.4.2 Coulomb Scattering
4.4.3 M0ller and Bhabha Scattering
Chapter 5. Compton Scattering
5.1 Classical Limit
5.1.1 Kinematics of the Scattering
5.1.2 Derivation of the Thomson Cross Section
5.1.3 Validity of the Classical Limit
5.2 Quantum-Mechanical Derivation: Non-Relativistic Limit
5.2.1 Interactions and Diagrams
5.2.2 Calculation of the Cross Section
5.3 Scattering by a Magnetic Moment
5.4 Relativistic Spin-0 Case
5.5 Relativistic Spin- Problem: Klein-Nishina Formula
5.5.1 Formulation
5.5.2 Evaluation of the Cross Section
5.5.3 Invariant Forms
5.5.4 Limiting Forms and Comparisons
5.6 Relationship to Pair Annihilation and Production
5.7 Double Compton Scattering
5.7.1 Non-Relativistic Case. Soft-Photon Limit
5.7.2 Non-Relativistic Case. Arbitrary Energy
5.7.3 Extreme Relativistic Limit
Chapter 6. Bremsstrahlung
6.1 Classical Limit
6.1.1 Soft-Photon Limit
6.1.2 General Case: Definition of the Gaunt Factor
6.2 Non-Relativistic Born Limit
6.2.1 General Formulation for Single-Particle Bremsstrahlung
6.2.2 Coulomb (and Screened-Coulomb) Bremsstrahlung
6.2.3 Born Correction: Sommerfeld-Elwert Factor
6.2.4 Electron-Positron Bremsstrahlung
6.3 Electron-Electron Bremsstrahlung. Non-Relativistic
6.3.1 Direct Born Amplitude
6.3.2 Photon-Emission Probability (without Exchange)
6.3.3 Cross Section (with Exchange)
6.4 Intermediate Energies
6.4.1 General Result. Gaunt Factor
6.4.2 Soft-Photon Limit
6.5 Relativistic Coulomb Bremsstrahlung
6.5.1 Spin-0 Problem
6.5.2 Spin: Bethe-Heitler Formula
6.5.3 Relativistic Electron-Electron Bremsstrahlung
6.5.4 Weizsacker-Williams Method
6.6 Electron-Atom Bremsstrahlung
6.6.1 Low Energies
6.6.2 Born Limit-Non-Relativistic
6.6.3 Intermediate Energies-Non-Relativistic
6.6.4 Relativistic Energies-Formulation
6.6.5 Relativistic Energies-Results and Discussion
Index

Systemvoraussetzungen

Als PDF speichern Als Link merken