Cooray, V. and Cooray, G. (2017) On the Action of the Radiation Field Generated by a Traveling-Wave Element and Its Connection to the Time Energy Uncertainty Principle, Elementary Charge and the Fine Structure Constant. Atmosphere, 8, 46.
https://doi.org/10.3390/atmos8030046

has been cited by the following article:

• TITLE: Classical Electromagnetic Fields of Moving Charges as a Vehicle to Probe the Connection between the Elementary Charge and Heisenberg’s Uncertainty Principle

  AUTHORS: Vernon Cooray, Gerald Cooray

  KEYWORDS: Transition Radiation, Heisenberg’s Uncertainty Principle, Electronic Charge, Elementary Charge, Size of the Universe

  JOURNAL NAME: Natural Science, Vol.9 No.7, July 25, 2017

  ABSTRACT: The radiation fields generated when a charged particle is incident on or moving away from a perfectly conducting plane are obtained. These fields are known in the literature as transition radiation. The field equations derived thus are used to evaluate the energy, momentum and the action associated with the radiation. The results show that for a charged particle moving with speed ν, the longitudinal momentum associated with the transition radiation is approximately equal to ΔU/c for values of 1- ν/c smaller than about 10-3 where ΔU is the total radiated energy dissipated during the interaction and cis the speed of light in free space. The action of the radiation, defined as the product of the total energy dissipated and the duration of the emission, increases as 1- ν/c decreases and, for an electron, it becomes equal to h/4π when ν = c - νm where νm is the speed pertinent to the lowest possible momentum associated with a particle confined inside the universe andh is the Planck constant. Combining these results with Heisenberg’s uncertainty principle, an expression that predicts the value of the elementary charge is derived.