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Causal electromagnetic interaction equations

Zinoviev, Yury M
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Abstract

For the electromagnetic interaction of two particles the relativistic causal quantum mechanics equations are proposed. These equations are solved for the case when the second particle moves freely. The initial wave functions are supposed to be smooth and rapidly decreasing at the infinity. This condition is important for the convergence of the integrals similar to the integrals of quantum electrodynamics. We also consider the singular initial wave functions in the particular case when the second particle mass is equal to zero. The discrete energy spectrum of the first particle wave function is defined by the initial wave function of the free-moving second particle. Choosing the initial wave functions of the free-moving second particle it is possible to obtain a practically arbitrary discrete energy spectrum.

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71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICSBASIC INTERACTIONSCONVERGENCEDIFFERENTIAL EQUATIONSDIRAC EQUATIONELECTRODYNAMICSELECTROMAGNETIC INTERACTIONSELECTROMAGNETISMENERGY RANGEENERGY SPECTRAEQUATIONSFIELD EQUATIONSFIELD THEORIESFUNCTIONSINTEGRALSINTERACTIONSMAGNETISMMASSMECHANICSPARTIAL DIFFERENTIAL EQUATIONSQUANTUM ELECTRODYNAMICSQUANTUM FIELD THEORYQUANTUM MECHANICSRELATIVISTIC RANGESPECTRAWAVE EQUATIONSWAVE FUNCTIONS

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Zinoviev, Yury M. 2011-02-15. Causal electromagnetic interaction equations. https://doi.org/10.1063/1.3526966

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