Definitions
from Wiktionary, Creative Commons Attribution/ShareAlike License
 n. Plural form of eigenfunction.
Etymologies
Sorry, no etymologies found.
Examples

This pure chance process will quickly drive macroscopic systems into near eigenfunctions of position while leaving isolated microsystems in superposition states.

Nr (k) are the integers nr (k) = 0, 1, 2, ¦ and the corresponding eigenfunctions (up to a normalisation factor) are

You and I know that as the first few eigenfunctions.

These closed objects are commonly called spherical harmonics, although they are only remotely related to the mathematical definition found in the solution to certain wave functions, most notably the eigenfunctions of angular momentum operators.

Since you've used the words eigenfunctions / eigenvalues / eigenstates in quite a few articles that I am aware of, why not create the definition subpage for the

Rather than using parameteric basis functions to perform the spatial interpolation, you are instead using nonparametric basis functions which are eigenfunctions of the covariance matrix of the data.

In German the functions are called spherical harmonics appear as eigenfunctions of [[Angular momentum (quantum) #Orbital angular momentum  orbital angular momentum]].

Characters behave in a very simple manner with respect to translation (indeed, they are eigenfunctions of the translation action), and so the Fourier transform tends to simplify any mathematical problem which enjoys a translation invariance symmetry (or an approximation to such a symmetry).

In [[quantum mechanics]] spherical harmonics appear as eigenfunctions of [[Angular momentum (quantum) #Orbital angular momentum  orbital angular momentum]].

When two Hermitian operators commute a common set of eigenfunctions exists.
Comments
Log in or sign up to get involved in the conversation. It's quick and easy.