Morse potential is one of the standard 1-dimensional potentials which are used mainly in quantum mechanics (especially in atomic and molecular physics). If $r$ is the coordinate (say, the distance between atoms) in $\mathbb{R}_+$, and $l, D$ constants ($l$ being the scale of the system) then one of the standard forms of Morse potential is

$V(r) = D (e^{- 2 x/l} - 2 e^{-x/l})$

up to addition of physically irrelevant constant summand this is the same as $D (1 - exp(-x/l))^2$.

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category: physics

Created on December 7, 2017 at 06:31:19. See the history of this page for a list of all contributions to it.