Editing Lambert W function (section)

=== Exact solutions of the Schrödinger equation ===
The Lambert {{mvar|W}} function appears in a quantum-mechanical potential, which affords the fifth – next to those of the [[harmonic oscillator]] plus centrifugal, the Coulomb plus inverse square, the Morse, and the [[inverse square root potential]] – exact solution to the stationary one-dimensional Schrödinger equation in terms of the confluent hypergeometric functions. The potential is given as
: <math> V = \frac{V_0}{1+W \left(e^{-\frac{x}{\sigma}}\right)}.</math>
A peculiarity of the solution is that each of the two fundamental solutions that compose the general solution of the Schrödinger equation is given by a combination of two confluent hypergeometric functions of an argument proportional to<ref>[https://arxiv.org/abs/1509.00846 A.M. Ishkhanyan, "The Lambert ''W'' barrier – an exactly solvable confluent hypergeometric potential"].</ref>
: <math> z = W \left(e^{-\frac{x}{\sigma}}\right).</math>

The Lambert {{mvar|W}} function also appears in the exact solution for the bound state energy of the one dimensional Schrödinger equation with a [[Delta potential#Double delta potential|Double Delta Potential]].