Nonlinear static model

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Abstract
The Abelian nonlinear Bose field interacting with a static source is treated by using the Tomonaga separation of the field into internal, corresponding to the classical field, and external parts. Two possible choices of the internal mode function are discussed. Quantum effects arise from quantization of the coordinate of the internal mode function; the relation to the result of the path-integral technique is shown. The simplest case, which occurs when the single-meson kinetic-energy term in the Hamiltonian is neglected, is used to show how the separation works.