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ABSTRACT: The quantum electrodynamical theory of coherent fluorescence resonance energy transfer (FRET) between two dipoles (free atoms, molecules or dopant centres in crystalline matrices at low temperature conditions) in an arbitrary non-dissipative environment is elaborated using a canonical quantization scheme. It is shown that population dynamics of both atoms can be expressed in terms of a classical Green function. This general theory corresponds well to the problem of description of controllable quantum manipulations under the donor-acceptor system (e.g. its application for FRET scanning near-field optical microscopy-based quantum computing). In addition, its usefulness is illustrated for the case of coherent FRET in free space and for the case when atoms are placed near an ideally conducting plane. The possibility of creating an entangled state of three atoms is demonstrated.