eigenfunction

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eigenfunction

(ˈaɪɡənˌfʌŋkʃən)
n
(Mathematics) maths physics a function satisfying a differential equation, esp an allowed function for a system in wave mechanics
Translations
Eigenfunktion
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References in periodicals archive ?
In studying the ground state of NcHO, the description of the even eigenfunctions is important.
By the scaling property (let [tau] = r/R) of eigenvalues and eigenfunctions we see that [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] and [[phi].sub.R](r) = [[phi].sub.1](r/R) = [[phi].sub.1]([tau]), where [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] and [[phi].sub.1]([tau]) are the first eigenvalue and the corresponding normalized eigenfunction of the eigenvalue problem in the unit ball B1(0).
Assuming the number of eigenfunctions P = L = 7 and M = 7, the calculation of single frequency point takes approximately 2.5 s on a Matlab, Xeon X5690 3.47GHz (2 processors).
The volume also contains 13 research papers exploring semiclassical measures, inverse spectral geometry, spectral properties of quantum graphs, statistics of nodal lines of eigenfunctions, and spectral asymptotics.
This subset of "partition eigenfunctions" completely determine the behaviour of the chain if the starting deck has all cards in increasing order, and they have some surprising interpretations:
W is the perturbation operator and [H.sub.0] is the nonperturbed operator whose eigenfunctions and eigenvalues are defined by (13) and (14):
In the continuous case, sets that are the zero-level sets of the eigenfunctions are called nodal sets, and nodal domains are those sets in which a corresponding eigenfunction takes on one sign and they are separated by nodal sets.
The analytic method based on the eigenfunctions satisfying the edge condition was also used in [18, 19].
In this paper, we study the properties of the eigenfunctions of the finite Hankel transform.
Then they discuss induction, isoenergetic sets: generalized eigenfunctions of the Schrodinger operator, and proof of absolute continuity of the spectrum.
To find eigenvalues and eigenfunctions, we can use various numerical methods [27].
9.2) was used for calculation of eigenfunctions for covariance matrices of random regression coefficients of the best model.