Based on the supersymmetry structures, we propose to solve the model of a charged Dirac oscillator interacting with a uniform perpendicular magnetic field on both commutative and noncommutative planes in a unified way by employing unitary transformations. The unitary operators are constructed out of the generators of the supersymmetry structures of the model.

中文翻译：

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用超对称结构求解交换平面和非交换平面上的狄拉克振子

基于超对称结构，我们建议通过采用酉变换以统一的方式求解带电狄拉克振荡器与交换平面和非交换平面上的均匀垂直磁场相互作用的模型。酉算子由模型的超对称结构的生成元构成。