Electromagnetic field quantization in a linear isotropic dielectric

Journal Article · Sat May 01 04:00:00 EDT 2004 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.69.052110· OSTI ID:20641105

Matloob, Reza ^[1]

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1. Department of Physics, University of Kerman, Kerman (Iran, Islamic Republic of)

A macroscopic electromagnetic field is quantized in a linear isotropic dielectric by the association of a damped quantum-mechanical harmonic oscillator with each mode of the radiation field. The macroscopic Langevin equation is used to describe the motion of a damped oscillator. We discuss a fully canonical approach for the quantization of a harmonic oscillator with damping subjected to a Langevin force operator. The conjugate momentum is defined in the usual way and the quantum-mechanical Hamiltonian is introduced. This provides us with a direct method for the quantization of the radiation field in a dielectric material. Special attention is paid to the decomposition of the radiation field into transverse and longitudinal parts and their difference is elucidated by this approach.

• OSTI ID: 20641105
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 5 Vol. 69; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
DAMPING
DIELECTRIC MATERIALS
DIFFERENTIAL EQUATIONS
ELECTROMAGNETIC FIELDS
HAMILTONIANS
HARMONIC OSCILLATORS
LANGEVIN EQUATION
OPTICS
QUANTIZATION
QUANTUM MECHANICS