Eigenfunction

Quick meaning: Eigenfunction is a noun meaning (mathematics) A function ϕ such that, for a given linear operator D, Dϕ=λϕ for some scalar λ (called an eigenvalue).

Meaning

(mathematics) A function ϕ such that, for a given linear operator D, Dϕ=λϕ for some scalar λ (called an eigenvalue).

Example Sentences

Problems that require an investigation of eigenvalues and eigenfunctions arise in connection with numerous topics in mechanics, the theory of vibrations and stability, hydrodynamics, elasticity, acoustics, electrodynamics, quantum mechanics, etc.

For many quantum-mechanical problems it is important to investigate the change of eigenvalues and eigenfunctions with the continuous change of one or more parameters. The case in which one knows the eigenvalues and eigenfunctions for two special values of the parameters, and is interested in the region in between is particularly interesting.

Word Forms

• eigenfunctions

Synonyms for eigenfunction

Depending on context, synonyms include eigenstate.

Related Words

Related dictionary entries include duties, functions, eigenoperator, eigenequation, eigenproblem, eigenvalue.

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