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In this paper, we consider a system of a massless Klein-Gordon field coupledto a static source. The total Hamiltonian is a self-adjoint operator on a bosonFock space. We consider annihilation operators in the Heisenberg picture anddefine a sesquilinear form. Under infrared regularity conditions, it is proventhat the sesquilinear form is a solution of the classical field equation.

Construction of solutions of the classical field equation for a massless Klein-Gordon field coupled to a static source