Complete Definition of "eigenfunction"

English
Etymology
German eigen (�own�) + �function�

Noun
en-noun

#math A function φ such that, for a generic linear operator D (e.g. differential one), Dφ = λφ where λ is an eigenvalue of the operator.
#quantum Any eigenfunction of the Hamiltonian operator, representing a quantum state whose energy level is given by the corresponding eigenvalue.

Synonyms
proper function, eigenstate

Translations

Finnish: ominaisfunktio
Italian: autofunzione f
mid
Japanese: JAchar|���� (koyū kansū)
Russian: �об��венна� ��нк�и� (sóbstvennaja fúnktsija) f
Swedish: egenfunktion c

Translations to be checked
checktrans
ttbc|Arabic: ARchar|دا�ة خاصة (dála �á�a) f
ttbc|Spanish: autofunción f, función propia f

See also
eigenvalue
eigenvector
hamiltonian
wikipedia
Mathworld article on eigenfunctions

sv:eigenfunction
vi:eigenfunction
zh:eigenfunction

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