# eigenfunction

eigenfunction
n. Math. & Physics that function which under a given operation generates some multiple of itself.

Useful english dictionary. 2012.

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• Eigenfunction — [ vibrating drum problem is, at any point in time, an eigenfunction of the Laplace s equation on a disk.] In mathematics, an eigenfunction of a linear operator, A , defined on some function space is any non zero function f in that space that… …   Wikipedia

• eigenfunction — noun 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. Commonly used to reference the eigenfunction of the Hamiltonian operator in quantum mechanics, representing a… …   Wiktionary

• eigenfunction — tikrinė funkcija statusas T sritis fizika atitikmenys: angl. eigenfunction; proper function vok. Eigenfunktion, f rus. собственная функция, f pranc. fonction propre, f …   Fizikos terminų žodynas

• eigenfunction — /uy geuhn fungk sheuhn/, n. Math. a characteristic vector in a vector space in which the elements are functions. Also called proper function. [1925 30; < G Eigenfunktion, equiv. to eigen characteristic, particular + Funktion FUNCTION] * * * …   Universalium

• eigenfunction — n. proper function, characteristic vector in a vector space in which elements are functions (Mathematics) …   English contemporary dictionary

• eigenfunction — noun Mathematics & Physics each of a set of independent functions which are the solutions to a given differential equation …   English new terms dictionary

• eigenfunction — ei·gen·function …   English syllables

• Spectral theory of ordinary differential equations — In mathematics, the spectral theory of ordinary differential equations is concerned with the determination of the spectrum and eigenfunction expansion associated with a linear ordinary differential equation. In his dissertation Hermann Weyl… …   Wikipedia

• LTI system theory — or linear time invariant system theory is a theory in the field of electrical engineering, specifically in circuits, signal processing, and control theory, that investigates the response of a linear, time invariant system to an arbitrary input… …   Wikipedia

• Wave function — Not to be confused with the related concept of the Wave equation Some trajectories of a harmonic oscillator (a ball attached to a spring) in classical mechanics (A B) and quantum mechanics (C H). In quantum mechanics (C H), the ball has a wave… …   Wikipedia