Physics:Quasi-exactly-solvable problems

Some systems whose solution is not known exactly, do have exact solutions for a limited set of parameters in the Hamiltonian. Such systems are said to be quasi-exactly-solvable.

For the one-dimensional Schrödinger equation this includes a number of potentials that are polynomials in the single variable, as well as problems of radial symmetry with potentials that are a function of the radial or the inverse of the radial coordinate.

For many body problems, this includes for example the solution of the Spherium and the Hooke's atom.

See also

• List of quantum-mechanical systems with analytical solutions