The Representation Theory of Light
Partha Pratim Mondal
Light fluctuation is strongly associated with its state. A good example of this is coherent light, for which the associated probability distribution is Poisson. This strongly suggests that the description of light and the associated fluctuations can also be understood using a distribution function. This necessitates that light be described purely on the basis of a distribution function, popularly known as the “representation theory” of light. This theory treats light as an entity that exhibit fluctuations with rich statistical significance, which justifies the description of light in the realm of quantum statistics and the development of a quasi-classical distribution theory. This is essentially an extension of the quantum theory that incorporates radiation fields with a non-standard distribution function. An equivalent and powerful approach to understanding light makes use of the Fourier domain, which is associated with the characteristic function. In this chapter, we set out to explore radiation fields, including thermal, random, and squeezed light, based on the representation theory.
•May 25, 2022•0 citations