eigenfunctions

(noun)

A class of mathematical function that is non-zero and returns the same function except for a multiplicative scaling factor when acted on by a linear operator (such as a Hamiltonian).

Related Terms

Examples of eigenfunctions in the following topics:

  • Description of the Hydrogen Atom

    • Although the resulting energy eigenfunctions (the orbitals) are not necessarily isotropic themselves, their dependence on the angular coordinates follows completely, generally from this isotropy of the underlying potential.

  • Wave Equation for the Hydrogen Atom

    • Although the resulting energy eigenfunctions (the orbitals) are not necessarily isotropic themselves, their dependence on the angular coordinates follows generally from this isotropy of the underlying potential.