Abstract By incorporating a minimal viable length into the ordinary quantum mechanics, the usual Heisenberg uncertainty principle is modified into a generalized one. From the dimensional considerations, this minimal length can be of the order of the Planck scale of length. In this procedure, the momentum of the system is modified and the Hamiltonian obtains additional terms. By the assumption of the presence of the minimal length, the energy spectrums of any physical system are expected to be modified. Here, these effects on the energy levels of the Morse potential are studied. By applying a perturbation method, the induced modification of the energy spectrum is calculated and discussed.

中文翻译：

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存在最小长度时莫尔斯谱的修正

摘要 通过在普通量子力学中加入最小可行长度，将通常的海森堡测不准原理修改为广义的。从尺寸考虑，这个最小长度可以是普朗克长度尺度的数量级。在这个过程中，系统的动量被修改，哈密顿量获得附加项。通过假设存在最小长度，任何物理系统的能谱都有望被修改。在这里，研究了这些对莫尔斯电势能级的影响。通过应用微扰方法，计算和讨论了能谱的诱导修正。