Derivation of the Photon Wave Equation in a Medium via a Poisson Process
Tomoshige Kudo, Ichiro Ohba
We construct a general photon wave equation in a nondispersive and homogeneous medium.Then, we demonstrate the relation between the photon wave equation and a Poisson process.Through this formalism, the passage time of photons in the medium can be defined.Furthermore, we derive a photon wave equation in a dispersive medium from the general formalism of the Poisson process by introducing a time shift generator.
Progress of Theoretical Physics•Nov 1, 2004•0 citations