Definition of Eigenfunctions. Meaning of Eigenfunctions. Synonyms of Eigenfunctions

Here you will find one or more explanations in English for the word Eigenfunctions. Also in the bottom left of the page several parts of wikipedia pages related to the word Eigenfunctions and, of course, Eigenfunctions synonyms and on the right images related to the word Eigenfunctions.

Definition of Eigenfunctions

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Meaning of Eigenfunctions from wikipedia

- Each value of λ corresponds to one or more eigenfunctions. If multiple linearly independent eigenfunctions have the same eigenvalue, the eigenvalue is...
- energies). It is also called energy eigenvector, energy eigenstate, energy eigenfunction, or energy eigenket. It is very similar to the concept of atomic orbital...
- an infinite number of eigenvalues each with a unique eigenfunction, and that these eigenfunctions form an orthonormal basis of a certain Hilbert space...
- function such as x ↦ e i x , {\displaystyle x\mapsto e^{ix},} is an eigenfunction of the differential operator − i d d x {\displaystyle -i{\frac {d}{dx}}}...
- differential equations include Agmon's method for proving exponential decay of eigenfunctions for elliptic operators. Agmon was awarded the 1991 Israel Prize in mathematics...
- {\tfrac {d}{dx}}} , in which case the eigenvectors are functions called eigenfunctions that are scaled by that differential operator, such as d d x e λ x =...
- suitable Hilbert space are used to study the behavior of eigenvalues and eigenfunctions of differential equations. For example, the Sturm–Liouville problem...
- complete orthonormal system of eigenfunctions for the Fourier transform on L2(R). However, this choice of eigenfunctions is not unique. Because of F 4...
- mathematics, a Hecke eigensheaf is any sheaf whose value is based on an eigenfunction. It is an object that is a tensor-multiple of itself when formed under...
- In applied mathematics, the Hough functions are the eigenfunctions of Laplace's tidal equations which govern fluid motion on a rotating sphere. As such...