What is Eigenfunction: Definition and 120 Discussions

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




D
f
=
λ
f


{\displaystyle Df=\lambda f}
for some scalar eigenvalue λ. The solutions to this equation may also be subject to boundary conditions that limit the allowable eigenvalues and eigenfunctions.
An eigenfunction is a type of eigenvector.

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  1. B

    Eigenfunction, Eigenvalue, Wave Function and collapse

    Reading Sam Treiman's http://books.google.de/books?id=e7fmufgvE-kC" he nicely explains the dependencies between the Schrödinger wave equation, eigenvalues and eigenfunctions (page 86 onwards). In his notation, eigenfunctions are u:R^3\to R and the wavefunction is \Psi:R^4\to R, i.e. in contrast...
  2. L

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  3. S

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  4. B

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    How can i prove that u(x)=exp(-x^{2}/2) is the eigenfunction of \hat{A} = \frac{d^{2}}{dx^{2}}-x^2 .(if i don't know the eigenfunction how can i find it from expression of A operator)
  5. D

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  6. P

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  7. P

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  8. I

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  9. S

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  10. J

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  11. P

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  12. U

    Sin(kx) is an eigenfunction of the KE operator?

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  13. U

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  14. Reshma

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  15. J

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  16. K

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  17. homology

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  18. P

    Hey,guys is ther a thing name after the eigenfunction of the time operator

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  19. S

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  20. A

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