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The correlative potential function and a new method for solving Maxwell equations
Authors:Li Chun-bao  Wang Bai-suo
Institution:Dalian Marine College, Liaoning, China
Abstract:This paper is a continuation of Paper 1].1. A new potential ψ which is defined as the correlative potential is developed in this paper. The potential ψ is different from the classical scalar potential ψ and the vector potential A developed by Helmholtz. The new formulae of the solution of egs.▽xf=ω, ▽f=P are given in terms of ψ.2. In the time-varying electromagnetic field, two new retarded potentials, the electric type retarded correlative potential ψe and the magnetic-type retarded correlative potential ψm, which are distinct from the classical retarded potentials A and φ, are used to solve Maxwell equations. The new formulae of solution of Maxwell equation are given in terms of ψ and ψm.3. The methods for constructing a rotational field with given curl function (vorticity) is proposed.
Keywords:third order boundary value problem  upper and lower solutions  Volterra type integral operator  existence and asymptotic estimates  
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