Abstract
Non-bosonic commutation relations of exciton operators discovered by Keldysh andKozlov (1968 Zh. Eksp. Teor. Fiz. 54 978; 1968 Sov. Phys.—JETP 27 521 (Engl.Transl.)) led to a long-standing question about the possible difference betweenexcitons and bosons in spite of the integer spin of excitons. In this paper theproblem is analysed and it is shown that, in spite of the difference between separateexcitons and bosons, the exciton gas is a Bose gas. Bosons comprising this gas aremixtures of separate excitons, and the non-bosonic nature of excitons leads onlyto a renormalization of the interaction between them. Features of the excitonluminescence coming from the interaction and non-bosonic nature of excitons areconsidered.
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