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The implications of magnetic translations for internal optical transitions ofcharged mobile electron-hole ($e$--$h$) complexes and ions in a uniformmagnetic field $B$ are discussed. It is shown that transitions of suchcomplexes are governed by a novel exact selection rule. Internal intrabandtransitions of two-dimensional (2D) charged excitons $X^-$ in strong magneticfields are considered as an illustrative example.Comment: 4 pages, 2 figure

Charged mobile complexes in magnetic fields: A novel selection rule for magnetooptical transitions