areEigenfunctionsOf
P79476
predicate
Indicates that certain functions serve as eigenfunctions corresponding to a specified operator or transformation.
Observed surface forms (5)
| Surface form | Occurrences |
|---|---|
| eigenfunctionsOf | 3 |
| eigenformProperty | 1 |
| eigenfunctionOf | 1 |
| eigenfunctions | 1 |
| energyEigenstatesSatisfy | 1 |
Sample triples (9)
| Subject | Object |
|---|---|
| Jacobi polynomials |
Jacobi operator
ⓘ
surface form:
Jacobi differential operator
|
| Ramanujan tau function | Hecke eigenvalues equal τ(n) via predicate surface "eigenformProperty" ⓘ |
| Hermite functions | quantum harmonic oscillator Hamiltonian via predicate surface "eigenfunctionsOf" ⓘ |
| Hermite functions | harmonic oscillator differential operator via predicate surface "eigenfunctionsOf" ⓘ |
| Hermite functions | Fourier transform operator up to phase via predicate surface "eigenfunctionsOf" ⓘ |
| dAlembert operator | plane waves in flat spacetime via predicate surface "eigenfunctions" ⓘ |
| Schrödinger picture | H|Eₙ⟩ = Eₙ|Eₙ⟩ via predicate surface "energyEigenstatesSatisfy" ⓘ |
| Legendre polynomials | Legendre differential operator NERFINISHED ⓘ |
| Jack polynomials | Calogero–Sutherland Hamiltonian via predicate surface "eigenfunctionOf" NERFINISHED ⓘ |