由透射系数求束缚态本征值
Bound state eigenvalues from transmission coefficients
摘要：
专家们知道，势阱的束缚态能量本征值是其传输振幅$t(E)$的极点。教科书把束缚态和散射态分开来求解，结果很好，但没有注意到它们之间的联系。在这里，我们提出了有趣的和有益的插图，我们提取的束缚态本征值从已知的传输系数$(T(E)=|t(E)|^2)$为6解析可解的势阱。
英文摘要：
Experts know that bound state energy eigenvalues of a potential well are poles of its transmission amplitude, $t(E)$. The textbooks do well by solving the bound states and scattering states separately, but the connection goes unheeded. Here, we present interesting and instructive illustrations, where we extract bound state eigenvalues from the known transmission coefficients $(T(E)=|t(E)|^2)$ for six analytically solvable potential wells.
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