An Etymological Dictionary of Astronomy and Astrophysics

1. Math.: An → eigenvector for a linear → operator on a → vector space whose vectors are → functions. Also known as proper function.
   

2. Quantum mechanics: A → wave function corresponding to an → eigenvalue. Eigenfunctions represent the stationary → quantum states of a system.

Etymology (EN): From Ger. Eigenfunktion, from eigen- “characteristic, particular, own” (from P.Gmc. *aigana- “possessed, owned,” Du. eigen, O.E. agen “one’s own”) + → function.

Etymology (PE): Viž-karyâ, from viž, contraction of vižé “particular, charcteristic” + karyâ, → function. Vižé, from Mid.Pers. apēcak “pure, sacred,” from *apa-vēcak “set apart,” from prefix apa- + vēcak, from vēxtan (Mod.Pers. bixtan) “to detach, separate, sift, remove,” Av. vaēk- “to select, sort out, sift,” pr. vaēca-, Skt. vic-, vinakti “to sift, winnow, separate; to inquire.”