eigenfunction

English

Etymology

eigen- +‎ function

Noun

eigenfunction (plural eigenfunctions)

1. (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

• eigenvalue
• eigenvector

 

Translations

function

• Arabic: ^{(please verify)} دَالَة خَاصَّة f (dāla ḵāṣṣa)
• Chinese:

  Mandarin: 本徵函數／本征函数 (běnzhēng hánshù), 本征函数 (běnzhēng hánshù)

• Finnish: ominaisfunktio
• French: fonction propre (fr) f
• German: Eigenfunktion (de) f
• Greek: ιδιοσυνάρτηση f (idiosynártisi)
• (deprecated template usage) {{trans-mid}}
• Icelandic: eiginfall n
• Italian: autofunzione (it) f
• Japanese: 固有関数 (koyū kansū)
• Portuguese: autofunção f
• Russian: со́бственная фу́нкция f (sóbstvennaja fúnkcija)
• Spanish: ^{(please verify)} autofunción f, ^{(please verify)} función propia f
• Swedish: egenfunktion (sv) c

References

• eigenfunction on Wikipedia.Wikipedia

Further reading

• eigenfunction on Wikipedia.Wikipedia

See also

• hamiltonian
• Mathworld article on eigenfunctions