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eigenfunction

ˈeigenfunction Physics.
  [tr. G. eigenfunktion.]
  A solution of a differential equation possessing solutions only for special values of a parameter.

1926 Proc. R. Soc. A. CXII. 661 A set of independent solutions, which may be called eigenfunctions. 1927 [see eigenvalue]. 1938 Nature 16 Apr. 668/1 The homopolar or bond eigenfunction method associated with the names of Heitler, London, Slater and Pauling. 1946 E. C. Titchmarsh (title) Eigenfunction expansions associated with second-order differential equations. 1951 Rev. Mod. Physics XXIII. 1/2 The eigenfunction of a bound state.

Oxford English Dictionary

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