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The paper contains a theory of laser action in a so called SPASER, a laserwith a surface plasmon. The goal of the theory development is an ascertainmentof physical nature of SPASER lasers that were successfully put into action byM. A. Noginov et al, announced in the paper entitled Demonstration of aspaser-based nanolaser, and by Xiang Zhang et al, the paper Plasmon lasers atdeep subwavelength scale, both papers in Nature Advance online publication,August 2009. Plasmonic modes have huge losses but simultaneously theprobabilities of radiative processes in atoms (molecules) with emission ofradiation into such modes are increased thousandfold as compared withprobabilities to radiate in free space. This makes clear how the losses arecompensated by amplification. It is made apparent the kinship of physicalnature of the phenomenon with that of of the SERS.

On the theory of a spaser, a laser with a surface plasmon