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eigenfunctions

eigenfunctions is the plural of eigenfunction.

Meaning of eigenfunction

Noun

eigenfunction (plural eigenfunctions)

  1. A function ϕ such that, for a given linear operator D, Dϕ=λϕ for some scalar λ (called an eigenvalue).
    • For many quantum-mechanical problems it is important to investigate the change of eigenvalues and eigenfunctions with the continuous change of one or more parameters. The case in which one knows the eigenvalues and eigenfunctions for two special values of the parameters, and is interested in the...2000, John von Neumann, E. Wigner, “On the Behaviour of Eigenvalues in Adiabatic Processes”, in Hinne Hettema, transl., edited by Hinne Hettema, Quantum Chemistry: Classic Scientific Papers, World...
    Synonyms:
    proper function, eigenstate

Questions about eigenfunctions

What is eigenfunctions the plural of?
Eigenfunctions is the plural of eigenfunction.

Words near eigenfunctions in the dictionary

  1. eigenforms
  2. eigenfrequencies
  3. eigenfrequency
  4. eigenfunction
  5. eigenfunctional
  6. eigenfunctions
  7. eigengap
  8. eigengaps
  9. eigengene
  10. eigengenes
  11. eigengenome

Source and license

Adapted from Wiktionary: eigenfunctions (page history and authors); eigenfunction (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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