areEigenfunctionsOf
P79476
predicate
Indicates that certain functions serve as eigenfunctions corresponding to a specified operator or transformation.
All labels observed (6)
| Label | Occurrences |
|---|---|
| eigenfunctionsOf | 3 |
| areEigenfunctionsOf canonical | 2 |
| eigenformProperty | 1 |
| eigenfunctionOf | 1 |
| eigenfunctions | 1 |
| energyEigenstatesSatisfy | 1 |
Description generation (PDg)
The one-sentence description above was generated by prompting gpt-5.1 with the predicate name and this instruction.
Instruction
Given a predicate that represents a relationship or action between entities, generate a one-sentence description explaining its meaning. # Instructions Focus on describing the relationship, not the entities themselves. # Response Format Begin the description with \' Indicates...\'
Input
Predicate: areEigenfunctionsOf
Generated description
Indicates that certain functions serve as eigenfunctions corresponding to a specified operator or transformation.
Sample triples (9)
| Subject | Object |
|---|---|
| Jacobi polynomials |
Jacobi differential operator
ⓘ
linked to:
Jacobi 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
ⓘ
linked to:
Legendre polynomials
|
| Jack polynomials |
Calogero–Sutherland Hamiltonian
via predicate surface "eigenfunctionOf"
ⓘ
linked to:
Calogero–Sutherland model
|