Derivation of relativistic wave equation from the Poisson process
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A Poisson process is one of the fundamental descriptions for relativistic particles: both fermions and bosons. A generalized linear photon wave equation in dispersive and homogeneous medium with dissipation is derived using the formulation of the Poisson process. This formulation provides a possible interpretation of the passage time of a photon moving in the medium, which never exceeds the speed of light in vacuum.
Tomoshige Kudo1 Ichiro Ohba1 2 3
Volume 97, 2023
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