Pöschl-Teller potential (source code)

= Pöschl-Teller potential
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{wiki=Pöschl–Teller_potential}

A Pöschl-Teller potential is a solvable one-dimensional potential built from $\operatorname{sech}^2 x$. The attractive member
$$
V(x)=-n(n+1)\alpha^2\operatorname{sech}^2(\alpha x)
$$
is reflectionless when $n$ is a positive integer.