2008 accomplished the 100thanniversary from the birth of L.D. Landau (Nobel Prize 1962). In the paper a short description of Kharkov period of Landau's work from 1932 to 1937 is given. One of areas of his work is connected with investigation of bremsstrahlung by ultra relativistic electrons in matter. In this paper a short review of the results obtained studying both Landau-Pomeranchuk-Migdal effect and coherent radiation by high-energy electrons and positrons in crystals, is given. The main attention is paid to the general properties and difference of radiation processes in amorphous media and in a crystal and to advances in the coherent bremsstrahlung studies.
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N.F. Shul’ga (2010) studied this question.
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