 Pöschl–Teller potential

A Pöschl-Teller potential is a solvable one-dimensional potential built from ${\mathrm{sech}}^{2}x$. The attractive memberis reflectionless when $n$ is a positive integer.

The Pöschl–Teller potential is a mathematical potential used in quantum mechanics that is characterized by its solvable nature and analytical properties. It is particularly notable because it can describe a variety of physical systems, including certain types of quantum wells and barriers. The potential is named after the physicists Richard Pöschl and H. J. Teller, who investigated it in the context of one-dimensional quantum mechanics.