Using a formulation of quantum mechanics based on orthogonal polynomials in the energy and physical parameters, we study quantum systems totally confined in space and with a linearly spaced energy spectrum. We present several examples of such systems, derive their corresponding potential functions, and plot some of their bound states.

中文翻译：

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具有线性能谱的受限系统

我们使用基于能量和物理参数中的正交多项式的量子力学公式，研究完全限制在空间中且具有线性间隔能谱的量子系统。我们展示了此类系统的几个示例，导出了它们相应的势函数，并绘制了它们的一些束缚状态。