Bound states in the continuum (BICs) are generally considered unusual phenomena. In this work, first, we provide a method to analyze the spatial structure of particle’s bound states in the presence of a minimal length, which can be used to find BICs; second, we provide a method to analyze the singular perturbation term’s effect of the Schrödinger equation, which can determine whether the BICs are readily observed in systems. Using the first method, we find that a counterintuitive phenomenon: the BICs are universal phenomena under the effect of the minimal length. Several examples of typical linear and nonlinear potentials, i.e., the infinite potential well, linear potential, harmonic oscillator, Pöschl-Teller potential, quantum bouncer, half oscillator, quantum bouncer in a closed court, harmonic oscillator plus Dirac delta function and Coulomb potential, are provided to show the BICs are universal. The wave functions and energy of the first three examples are provided. Using the second method, we find the reason for this phenomenon: although the BICs are universal phenomena, they are often hardly found in many ordinary environments since the bound continuous states perturbed by the effect of the minimal length are too weak to observe. Three examples are discussed. And we provide the range of the deforming parameter $\beta$ of the minimal length that can make the BICs be readily observed. The results are consistent with the current experimental results on BICs. In addition, we reveal a mechanism of the BICs. The mechanism explains why current research shows the bound discrete states are typical, whereas BICs are always found in certain particular environments when the minimal length is not considered.

连续体（BIC）中的束缚态通常被认为是不寻常的现象。在这项工作中，首先，我们提供了一种在存在最小长度的情况下分析粒子束缚态空间结构的方法，该方法可用于查找BIC。其次，我们提供了一种方法来分析Schrödinger方程的奇异摄动项的影响，可以确定系统中是否容易观察到BIC。使用第一种方法，我们发现一个与直觉相反的现象：BIC在最小长度的影响下是普遍现象。典型线性和非线性电势的几个示例，例如，无限势阱，线性电势，谐波振荡器，Pöschl-Teller势，量子弹床，半振荡器，量子弹床在封闭的场地中，谐波振荡器加上狄拉克δ函数和库仑电势表明BIC具有通用性。提供了前三个示例的波函数和能量。使用第二种方法，我们找到了造成这种现象的原因：尽管BIC是普遍现象，但由于在最小长度的影响下受扰的束缚连续状态太弱而无法观察到，因此在许多普通环境中通常很少发现它们。讨论了三个示例。我们提供变形参数的范围 由于在最小长度的影响下受干扰的连续状态太弱而无法观察到，因此在许多普通环境中通常很难找到它们。讨论了三个示例。我们提供变形参数的范围 由于在最小长度的影响下受干扰的连续状态太弱而无法观察到，因此在许多普通环境中通常很难找到它们。讨论了三个示例。我们提供变形参数的范围$\beta$可以使BIC易于观察的最小长度。结果与目前在BIC上的实验结果一致。此外，我们揭示了BIC的机制。该机制解释了为什么当前的研究表明绑定的离散状态是典型的，而BIC总是在某些特定环境中找到，而没有考虑最小长度。