A quantum characterization of classical radiation

Yakir Aharonov, David L. Falkoff, E. C. Lerner +1 more

Hong-Chen Fu

Pólya states of a single-mode radiation field are proposed and their algebraic characterization and non-classical properties are investigated. They degenerate to the binomial (atomic coherent) and negative binomial (Perelomov's su(1,1) coherent) states in two different limits and further to the number, the ordinary coherent and Susskind - Glogower phase states. The algebra involved turns out to be a two-parameter deformation of both su(2) and su(1,1). Non-classical properties are investigated in detail.

Albert Einstein

Albert Einstein

Jonathan Dimock

We study the radiation of photons from a classical charged particle. We particularly consider a situation where the particle has a constant velocity in the distant past, then is accelerated, and then has a constant velocity in the distant future. Starting with no photons in the distant past we seek to characterize the quantum state of the photon field in the distant future. Working in the Coulomb gauge and in a [Formula: see text]-algebra formulation, we give sharp conditions on whether this state is or is not in Fock space.

Said M. Mikki

We explore the spatial directivity of radiating quantum source systems, which are defined as any generic source capable of producing photon emission and directing it to specific regions in space. We present a comprehensive definition of quantum directivity, inspired by both classical antenna theory and photon detection theory. Through an in-depth conceptual and mathematical analysis, we identify and address several critical challenges associated with characterizing the directive properties of a general quantum source system. Our approach essentially presents a computational model that relies solely on the density operator of the radiation field as input.