eigenfunction

== English == === Etymology === From eigen- +‎ function. === Noun === eigenfunction (plural eigenfunctions) (mathematics) A function ϕ {\displaystyle \phi } such that, for a given linear operator D {\displaystyle D} , D ϕ = λ ϕ {\displaystyle D\phi =\lambda \phi } for some scalar λ {\displaystyle \lambda } (called an eigenvalue). ==== Synonyms ==== proper function, eigenstate ==== Related terms ==== ==== Translations ==== === See also === hamiltonian === Further reading === Mathworld article on eigenfunctions