eigenfunction


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Related to eigenfunction: eigenfunction expansion

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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43) every linear combination of spherical harmonics of the l th order is an eigenfunction of [[DELTA].
Eigenvalues represent the amount of variation explained by the corresponding eigenfunction [16].
1) "though the form in which the degeneration of the free electron is now treated in the paper would seem to be unambiguous" (2) "The difficulty was the eigenfunction in the presence of a magnetic field, a point which I think is not completely cleared up yet" (3) "Therefore the eigenfunctions you have used in your paper are not so simply as we thought connected with the "spin" " (4) "but this has no influence on your results, only the sentences where spin comes in could not have quite the definite form you gave them" The second letter,(11,23) dated 2nd Dec.
N-1] are the zeros of the PSWF eigenfunction of order N.
Collocation methods utilize expressions for the eigenfunction in terms of adequately chosen bases.
If we define a new function D(S), the eigenfunction of a VSP's SWC, as
1] is a eigenfunction for the first eigenvalue over [OMEGA] and chose the constant b such that [phi] = [[phi].
This eigenvalue problem can be solved analytically and the explicit eigenfunction solution is f(x) = sin (jx) with eigenvalues [gamma] = -[j.