The wave-function description of the electromagnetic field

8th Biennial Conference on Classical and Quantum Relativistic Dynamics of Particles and Fields

Friedman, Yaakov^1

Jerusalem College of Technology, Departments of Mathematics and Physics, P.O.B. 16031, Jerusalem 91160, Israel^1

关键词: Complex valued functions;    Covariant;    Differential operators;    Lorentz;    Moving charge;    Scalar potential;    Spacetime;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/437/1/012018/pdf
DOI  :  10.1088/1742-6596/437/1/012018

来源: IOP

【 摘 要 】

For an arbitrary electromagnetic field, we define a prepotential S, which is a complex-valued function of spacetime. The prepotential is a modification of the two scalar potential functions introduced by E. T. Whittaker. The prepotential is Lorentz covariant under a spin half representation. For a moving charge and any observer, we obtain a complex dimensionless scalar. The prepotential is a function of this dimensionless scalar. The prepotential S of an arbitrary electromagnetic field is described as an integral over the charges generating the field. The Faraday vector at each point may be derived from S by a convolution of the differential operator with the alpha matrices of Dirac. Some explicit examples will be calculated. We also present the Maxwell equations for the prepotential.