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Title: The features of a quantum description of radiation in an optically dense medium

This paper is devoted to the theory of quantum electromagnetic field in an optically dense medium. Self-consistent equations describing interaction between a quantum field and a quantum dielectric medium are obtained from the first principles, i.e., outside a phenomenological description. Using these equations, we found a transformation (of the Bogoliubov transformation type) that converts the operators of the “vacuum” field into operators of collective perturbations of the field and an ensemble of atoms, that is, photons in the medium. Transformation parameter is the refractive index of the wave mode considered. It is shown that besides the energy of the collective electromagnetic field, the energy of photons in the medium includes the energy of the internal degrees of freedom of the substance and the energy of near-field dipole interaction between atoms in the polarized medium. The concept of negative energy photons is introduced on the basis of self-consistent equations. - Highlights: • Quantum equations of field–medium interaction are obtained from the first principles. • Transformation of field operators from vacuum to medium is of Bogoliubov type. • The concept of negative energy photons is introduced.
Authors:
; ;
Publication Date:
OSTI Identifier:
22451224
Resource Type:
Journal Article
Resource Relation:
Journal Name: Annals of Physics; Journal Volume: 360; Other Information: Copyright (c) 2015 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOGOLYUBOV TRANSFORMATION; DEGREES OF FREEDOM; DIELECTRIC MATERIALS; DIPOLES; ELECTROMAGNETIC FIELDS; FIELD OPERATORS; PHOTONS; REFRACTIVE INDEX