Definitions
from Wiktionary, Creative Commons Attribution/ShareAlike License.
 noun Plural form of
eigenfunction .
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Examples

This pure chance process will quickly drive macroscopic systems into near eigenfunctions of position while leaving isolated microsystems in superposition states.
Philosophy of Statistical Mechanics Sklar, Lawrence 2009

Nr (k) are the integers nr (k) = 0, 1, 2, ¦ and the corresponding eigenfunctions (up to a normalisation factor) are
Quantum Field Theory Kuhlmann, Meinard 2006

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.
UNEASYsilence 2010

You and I know that as the first few eigenfunctions.

In German the functions are called spherical harmonics appear as eigenfunctions of [[Angular momentum (quantum) #Orbital angular momentum  orbital angular momentum]].
Citizendium, the Citizens' Compendium  Recent changes [en] 2009

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).
What's new 2009

In [[quantum mechanics]] spherical harmonics appear as eigenfunctions of [[Angular momentum (quantum) #Orbital angular momentum  orbital angular momentum]].
Citizendium, the Citizens' Compendium  Recent changes [en] 2009

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
Citizendium, the Citizens' Compendium  Recent changes [en] 2009

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.
RealClimate 2009
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