论文标题
一个完全可以解决的玩具模型
An exactly solvable toy model
论文作者
论文摘要
为了使以前可解决的模型[Yang and Zhang，Eur正常。 J. Phys。 \ textbf {40}，035401（2019）]，我们发现了另一个完全可解决的玩具模型。有趣的观点是，虽然模型的哈密顿量被$ [0，\ infty）$定义的函数$ f（x）$参数化，但其频谱仅取决于$ f $的最终值，即$ f（0）$ f（0）$和$ f（\ infty）$。该模型可以作为本科水平量子力学的良好练习。
In an attempt to regularize a previously known exactly solvable model [Yang and Zhang, Eur. J. Phys. \textbf{40}, 035401 (2019)], we find yet another exactly solvable toy model. The interesting point is that while the Hamiltonian of the model is parameterized by a function $f(x)$ defined on $[0, \infty )$, its spectrum depends only on the end values of $f$, i.e., $f(0)$ and $f(\infty )$. This model can serve as a good exercise in quantum mechanics at the undergraduate level.
