eigenfunction — अंग्रेज़ी शब्दकोश

संज्ञा

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

   समानार्थी शब्द

   proper functioneigenstate

   संबंधित शब्द

   eigenbasiseigenbraineigendecompositioneigen decompositioneigenfaceeigenheadeigenmodeeigenpaireigenspaceeigenspinoreigenstateeigensystemeigentheoryeigenvalueeigenvectorhamiltonian

   उदाहरण

   अधिक उदाहरण (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.