eigenfunction

eigen- +‎ function

eigenfunction (plural eigenfunctions)

1. (mathematics) A function ${\displaystyle \phi }$ such that, for a given linear operator ${\displaystyle D}$, ${\displaystyle D\phi =\lambda \phi }$ for some scalar ${\displaystyle \lambda }$ (called an eigenvalue).

• proper function, eigenstate

• eigenbasis
• eigenbrain
• eigendecomposition, eigen decomposition
• eigenface
• eigenhead
• eigenmode
• eigenpair
• eigenspace
• eigenspinor
• eigenstate
• eigensystem
• eigentheory
• eigenvalue
• eigenvector

• hamiltonian

• Mathworld article on eigenfunctions