Radiation and Matter

Description

The book describes the quantum-mechanical motion in the context of the quantum field theory. A relativistic particle requires time and length thresholds in order to move quantum-mechanically, as a consequence of its relativistic rest energy and momentum. The subject is discussed mainly in relation to the Dirac equation for the electron and the electromagnetic interaction. Electromagnetic quantum-mechanical effects are computed. Also, the book presents the theory of the electromagnetic field, the relativistic motion, especially the motion of a charge in the electromagnetic field, as well as the electromagnetic field in matter and the surface electromagnetism. Physics Research and Technology Radiation and Matter Contents 1 Introduction 2 Electromagnetic Field 2.1 Maxwell equations 2.2 Fourier transformation 2.3 Solutions 2.4 Free waves 2.5 Transverse waves 2.6 Energy, force and momentum 2.7 Longitudinal field 2.8 Static field. Self-interaction 2.9 Waves. Self-interaction 2.10 Radiation field 2.11 Damping force 2.12 Line breadth 2.13 Scattering of radiation 2.14 Absorption of radiation 2.15 Sub-wavelength field 3 Relativity 3.1 Electromagnetic field 3.2 Lorentz transformation 3.3 Relativistic mechanics 3.4 Lagrangians. Hamilton-Jacobi equation 3.5 Lienard-Wiechert potentials 3.6 Damping in radiation 3.7 Relativistic effects 3.7.1 Addition of velocities 3.7.2 Aberration of light 3.7.3 Doppler effect 3.7.4 Fresnel drag 3.7.5 Spots, beaming and focusing 3.8 Charge in an electromagnetic planewave 4 Charges and Fields 4.1 Charge in electromagnetic field 4.1.1 Equations of motion 4.1.2 Hamilton-Jacobi equation 4.1.3 Damping force 4.1.4 "Stopping" point 4.2 Quantum charge 4.2.1 Standing wave 4.2.2 Compton effect 4.3 Non-relativistic charge 4.3.1 Schroedinger equation 4.3.2 Free particle 4.3.3 Ionization 4.3.4 Absence of quantum transitions 4.3.5 Quasi-classical approximation 4.4 Bound states 4.4.1 Dipole approximation 4.4.2 Static fields 4.4.3 Oscillating fields 4.5 Electric and magnetic pulses 4.5.1 Pulses of electric charge 4.5.2 Remote pulses 4.5.3 Wave equations 4.5.4 Retarded potentials 4.5.5 Uniform motion of the pulses 4.5.6 A loop and a needle 4.6 Electric pulse on a metallic wire 5 Relativity and QuantumMechanics 5.1 Maxwell equations 5.2 Hamilton-Jacobi equation 5.3 Quantum Mechanics 5.4 Dirac equation 5.5 Zitterbewegung 5.6 Quantum field 6 Electron-PhotonInteraction 6.1 Maxwell equations 6.2 Self-interaction 6.3 Longitudinal field 6.4 Photons 6.5 Non-relativistic Quantum Mechanics 6.6 Relativistic particle 6.7 Boson field 6.8 Free bosons 6.9 Interaction 6.10 Classical electromagnetic radius 6.11 Relativistic quantum uncertainty 7 Electromagnetic QuantumEffects 7.1 Perturbation theory 7.2 Interacting electron 7.3 Spontaneous emission 7.4 Diamagnetic self-energy: a massrenormalization 7.5 Lamb shift 7.6 Spin-flip photon emission 7.7 Anomalous magnetic moment 7.8 Pair creation: photon annihilation 7.9 Pair creation: external field 7.10 Pair creation: two-photon annihilation 7.11 Charge renormalization 7.12 Photon mass 7.13 "The meaning of it all" 8 Quasi-classical relativisticelectron 8.1 Relativistic notations 8.2 Relativistic electron 8.3 Bosons 8.4 Free bosons 8.5 Quasi-classical electron 8.6 Quasi-classical electromagnetic field 8.7 Quasi-classical Klein-Gordon electron 9 Electromagnetism inMatter 9.1 Maxwell equations in matter 9.2 Electric permittivity and magneticpermeability 9.2.1 Longitudinal field 9.3 Quantization 9.4 Dual potentials 9.5 Dielectric function. Eigenmodes 9.6 Polarization 9.7 Polarizable matter 9.7.1 Magnetization 9.8 Polarization eigenmodes 9.9 Two electromagnetically coupledbodies 9.10 Casimir force 9.11 van der Waals-London force 9.12 Electromagnetic field energy 9.13 Pointlike particles 9.14 Coupled nanoplasmons 9.15 Propagation of light in matter 10 Surface Electromagnetism 10.1 Polarization 10.2 Quasi-static fields 10.3 Surface plasmons 10.4 Half-space 10.5 Point dipole and half-space 10.6 Surface enhanced Raman scattering 10.7 Wave on surface 10.7.1 Cylindrical geometry 10.7.2 Half-space 10.8 Surface plasmon-polaritons.Superficial modes 10.8.1 Internal field. Polarization 10.8.2 Surface plasmon-polaritons 10.8.3 Superficial modes 10.9 Topological conductors 10.9.1 Topological conductors 10.9.2 Collective motion 10.9.3 Single-particle properties. Thermodynamics 10.9.4 Transport properties 10.9.5 Solenoidal effect 10.9.6 Quantum-mechanical effects Index Blank Page Blank Page