## Quantum Theory of Near-Field Electrodynamics"Quantum Theory of Near-field Electrodynamics" gives a self-contained account of the fundamental theory of field-matter interaction on a subwavelength scale. The quantum physical behavior of matter (atoms and mesoscopic media) in both classical and quantum fields is treated. The role of local-field effects and nonlocal electrodynamics, and the tight links to the theory of spatial photon localization are emphasized. The book may serve as a reference work in the field, and is of general interest for physicists working in quantum optics, mesoscopic electrodynamics and physical optics. The macroscopic and microscopic classical theories form a good starting point for the quantum approach, and these theories are presented in a manner appropriate for graduate students entering near-field optics. |

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### Contents

Part II Quantum Theory with Classical Fields | 130 |

Part III Quantum Electrodynamic Theory | 420 |

643 | |

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angular momentum appears atom calculation charge classical commutator relations Coulomb gauge Coulomb interaction covariant current density delta function domain dyadic dynamical equations electric and magnetic electric dipole electric field electromagnetic field electron emission energy wave function expression external field follows Fourier frequency G.RI given Green function Hamilton operator Hamiltonian Heisenberg picture helicity hence inserting integral J.rI Lagrangian linear longitudinal and scalar Lorenz gauge magnetic field matrix elements Maxwell equations Maxwell–Lorentz equations mesoscopic microscopic momentum operator multipole near-field electrodynamics nonrelativistic notation obtains one-photon particle photon wave function photon wave mechanics physical plane-wave Poincaré gauge point-particle polarization quantity quantization quantum electrodynamics quantum mechanical radiation reader relativistic representation response tensor result rim zone satisfy scalar photon Schrödinger Sect space–time spin term transformation transverse photons transverse vector vector field vector potential wave equation wave function wave mechanics