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
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
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Connections
mathematics
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quantum mechanics
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International Standard Book Number
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integer
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function
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vector space
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string instrument
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Schrödinger equation
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Fourier series
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Fourier transform
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wave function
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Hilbert space
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scalar
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linear map
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partial differential equation
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eigenvectors and eigenvalues
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wave equation
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complex conjugate
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exponential function
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Kronecker delta
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