eigenfunction
Sign in to saveright|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.]]
~11 min read
Encyclopedic overview
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
Excerpted from Wikipedia’s “eigenfunction” article, available under the CC BY-SA 4.0 licence.