List of quantum-mechanical potentials

This is a list of potential energy functions that are frequently used in quantum mechanics and have any meaning.

One-dimensional potentials

 * Rectangular potential barrier
 * Delta potential (aka "contact potential")
 * Double delta potential
 * Step potential
 * Periodic potential
 * Barrier potential
 * Gaussian potential
 * Eckart potential

Wells

 * Quantum well
 * Potential well
 * Finite potential well
 * Infinite potential well
 * Double-well potential
 * Semicircular potential well
 * Circular potential well
 * Spherical potential well
 * Triangular potential well

Interatomic potentials

 * Interatomic potential
 * Bond order potential
 * EAM potential
 * Coulomb potential
 * Buckingham potential
 * Lennard-Jones potential
 * Morse potential
 * Morse/Long-range potential
 * Rosen–Morse potential
 * Trigonometric Rosen–Morse potential
 * Stockmayer potential
 * Pöschl–Teller potential
 * Axilrod–Teller potential
 * Mie potential

Oscillators

 * Harmonic potential (harmonic oscillator)
 * Morse potential (morse oscillator)
 * Morse/Long-range potential (Morse/Long-range oscillator)
 * Kratzer potential (Kratzer oscillator)

Quantum Field theory

 * Yukawa potential
 * Coleman–Weinberg potential
 * Uehling potential
 * Woods–Saxon potential

Miscellaneous

 * Quantum potential
 * Pseudopotential
 * Superpotential
 * Kolos–Wolniewicz potential