eigenfunction
A function ϕ such that, for a given linear operator D, Dϕ=λϕ for some scalar λ (called an eigenvalue).
Noun
- A function ϕ such that, for a given linear operator D, Dϕ=λϕ for some scalar λ (called an eigenvalue).
- 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...
- 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,...
Origin
Etymology tree Proto-Indo-European *h₂eyḱ- Proto-Indo-European *h₂eh₂óyḱe Proto-Germanic *aiganą Proto-Germanic *aiganaz Proto-West Germanic *aigan Old High German eigan Middle High German eigen German eigenbor. English eigen- Old French fonction Middle French functionbor. English function English eigenfunction From eigen- + function.
Forms
Synonyms
Related
eigenbasis eigenbrain eigendecomposition eigen decomposition eigenface eigenhead eigenmode eigenpair eigenspace eigenspinor eigenstate eigensystem eigentheory eigenvalue eigenvector hamiltonian