eigenfunction
right|frame|This solution of the vibrations of a circular drum|vibrating drum problem is, at any point in time, an eigenfunction of the [[Laplace operator on a disk.]]
Article
11 sectionsContents
- Eigenfunctions
- Derivative example
- Link to eigenvalues and eigenvectors of matrices
- Eigenvalues and eigenfunctions of Hermitian operators
- Applications
- Vibrating strings
- Schrödinger equation
- Signals and systems
- See also
- Citations
- Works cited
right|frame|This solution of the vibrations of a circular drum|vibrating drum problem is, at any point in time, an eigenfunction of the [[Laplace operator on a disk.]]
In mathematics, an eigenfunction of a linear operator D defined on some function space is any non-zero function f in that space that, when acted upon by D, is only multiplied by some scaling factor called an eigenvalue. As an equation, this condition can be written as