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This group is a step-two nilpotent Lie group with three-dimensional center, and the regular part of its unitary dual \\(\\widehat{G_{\\mathrm{NC}}}\\) is labelled by central characters \\((\\hbar,\\vartheta,B_{\\mathrm{in}})\\). Ordinary two-dimensional quantum mechanics (QM) appears inside \\(\\widehat{G_{\\mathrm{NC}}}\\) as the family of Weyl-Heisenberg representations inflate","authors_text":"S. 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