Definitions For Eigenfunction

Noun

EIGENFUNCTION (plural EIGENFUNCTIONs) (mathematics) A function \phi such that, for a given linear operator D, D\phi=\lambda\phi for some scalar \lambda (called an eigenvalue).

Synonyms

proper function, eigenstate

Related terms

eigenbasis eigenbrain eigendecomposition, eigen decomposition eigenface eigenhead eigenmode eigenpair eigenspace eigenspinor eigenstate eigensystem eigentheory eigenvalue eigenvector

Translations

Arabic: {{t-check, ar, دَالَة خَاصَّة, tr=dāla ḵāṣṣa, f}} Chinese: : Mandarin: 本徵函數 (běnzhēng hánshù) Finnish: ominaisfunktio French: fonction propre, f German: Eigenfunktion, f Greek: ιδιοσυνάρτηση, f Icelandic: eiginfall, n Italian: autofunzione, f Japanese: 固有関数 (koyū kansū) Portuguese: autofunção, f {{q, Brazil}}, função própria, f {{qualifier, Portugal}} Russian: со́бственная фу́нкция, f Spanish: autofunción, f, función propia, f Swedish: egenfunktion, c

Etymology

eigen + function

See also

hamiltonian