States of light via reducible quantization

Abstract

Multi-photon and coherent states of light are formulated in terms of a reducible representation of canonical commutation relations. Standard properties of such states are recovered as certain limiting cases. The new formalism leads to field operators and not operator-valued distributions. The example of radiation fields produced by a classical current shows an automatic regularization of the infrared divergence.

version accepted in Phys. Lett. A

References in corpus (6)

• Bosons in a Trap: A Rigorous Derivation of the Gross-Pitaevskii Energy Functional
• Noncanonical quantum optics
• (Noncanonical) field quantization by means of a single harmonic oscillator
• Nonlocal regularization of abelian models with spontaneous symmetry breaking
• Photon fields in a fluctuating spacetime
• Reducible field quantization (II): Electrons

Cited by in corpus (9)

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• Theory versus experiment for vacuum Rabi oscillations in lossy cavities (II): Direct test of uniqueness of vacuum
• Reducible representations of CAR and CCR with possible applications to field quantization
• Automatic regularization by quantization in reducible representations of CCR: Point-form quantum optics with classical sources
• Regularization as quantization in reducible representations of CCR
• Cavity-QED tests of representations of canonical commutation relations employed in field quantization
• Regularization just by quantization -- a new approach to the old problem of infinities in quantum field theory (Draft of lecture notes)
• Relativistic EPR-type experiments for photons in the background of reducible representation HOLA algebras