本文对量子力学中的一维束缚态无简并定理进行了讨论，指出一般教材中对该定理的证明适用于波函数不存在节点的情况. 通过分析波函数在节点附近的行为，我们证明了该定理在波函数存在节点时仍然成立.

We discuss the non-degeneracy theorem for one-dimensional bound state, pointing out that the proof of this theorem in typical textbooks only applies to wave functions without zero point. For wave functions vanishing at some points, we analyze the behavior of the function near those points and prove that the theorem still holds.