The construction and the symmetries of Chern-Simons vortices in harmonic and uniform magnetic force backgrounds found by Ezawa, Hotta, and Iwazaki and by Jackiw and Pi are generalized using the nonrelativistic Kaluza-Klein-type framework presented in our previous paper. All Schr\"odinger-symmetric backgrounds are determined.
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Duval et al. (1994) studied this question.
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