eigenfunction — Dizionario inglese

Sostantivo

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

   Sinonimi

   proper functioneigenstate

   Parole correlate

   eigenbasiseigenbraineigendecompositioneigen decompositioneigenfaceeigenheadeigenmodeeigenpaireigenspaceeigenspinoreigenstateeigensystemeigentheoryeigenvalueeigenvectorhamiltonian

   Esempi

   Altri esempi (2)

   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.

   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.