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Eigenfunction
A function \phi such that, for a given linear operator D, D\phi=\lambda\phi for some scalar \lambda (called an eigenvalue).
📖 Definitions of "Eigenfunction"
noun
- 1
A function \phi such that, for a given linear operator D, D\phi=\lambda\phi for some scalar \lambda (called an eigenvalue).
💡 Words with a Similar Meaning to "Eigenfunction"
Found via reverse dictionary — words that share a conceptual meaning.
| Word | Definition |
|---|---|
| dutiesnoun | (countable, uncountable) That which one is morally or legally obligated to do. |
| functionsnoun | What something does or is used for. |
| eigenoperatornoun | (mathematics) An operator (endomorphism) involving an eigenvalue. |
| eigenequationnoun | (mathematics) Any equation containing an eigenfunction |
| eigenproblemnoun | (mathematics) A mathematical problem involving eigenvalues. |
| eigenvaluenoun | (linear algebra) A scalar λ, such that there exists a non-zero vector x (a corresponding eigenvector) for which the image of x under a given linear transformation A is equal to the image of x under multiplication by λ; i.e. Ax=λx. |
| functional | Useful; serving a purpose, fulfilling a function. |
| eigensheafnoun | (mathematics) Any sheaf whose value is based on an eigenfunction |
| eigenketnoun | (physics) A ket |K⟩ such that α|K⟩ = a|K⟩ for some linear operator α and number a. |
| left eigenvaluenoun | (linear algebra) An eigenvalue corresponding to the left transform of a given linear operator; i.e. λ such that urm A=uλ. |
| eigenstructurenoun | (mathematics) The set of eigenvalues of a matrix. |
| eigenpairnoun | (linear algebra) The mathematical pair of an eigenvector (ẕ), and its associated eigenvalue (λ). This is written as (λ,ẕ) |
| eigenphasenoun | (mathematics) A phase that is the result of an eigenfunction |
| right eigenvaluenoun | (linear algebra) An eigenvalue corresponding to the right transform of a given linear operator; i.e. λ such that rm Au=λu. |
| eigenlevelnoun | Any level whose value is based on an eigenfunction |
| eigenlinenoun | (mathematics) A one-dimensional eigenspace. |
| eigenspectrumnoun | (mathematics) The set of all eigenvalues of a linear operator. |
| eigenanglenoun | (mathematics) An angle whose value is an eigenvalue |
| eigentensornoun | Any tensor whose value is based on an eigenfunction |
| eigenderivativenoun | Any derivative of an eigenvalue. |
🎨 Adjectives for "Eigenfunction"
Popular adjectives used to describe this word in books.
🏷️ Nouns for "Eigenfunction"
Common nouns this word is used to describe.
📝 Common Phrases with "Eigenfunction"
Words that come before
- theeigenfunction
- aneigenfunction
- correspondingeigenfunction
- energyeigenfunction
- andeigenfunction
- totaleigenfunction
- firsteigenfunction
- ofeigenfunction
- stateeigenfunction
- eacheigenfunction
- oneeigenfunction
- spineigenfunction
- simultaneouseigenfunction
- normalizedeigenfunction
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