hasDispersionRelation
P62488
predicate
Indicates that there exists a specific mathematical relationship between frequency (or energy) and wavevector (or momentum) characterizing how a wave or particle propagates in a given medium or system.
All labels observed (4)
| Label | Occurrences |
|---|---|
| haveDispersion | 2 |
| dispersionRelation | 1 |
| hasDispersionRelation canonical | 1 |
| hasEnergyDispersion | 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: hasDispersionRelation
Generated description
Indicates that there exists a specific mathematical relationship between frequency (or energy) and wavevector (or momentum) characterizing how a wave or particle propagates in a given medium or system.
Sample triples (5)
| Subject | Object |
|---|---|
| Klein–Gordon equation | ω^2 = k^2 + m^2 ⓘ |
|
Goldstone bosons
surface form:
Goldstone boson
|
gapless via predicate surface "hasEnergyDispersion" ⓘ |
| Stoneley waves | frequency-dependent phase velocity via predicate surface "haveDispersion" ⓘ |
| Stoneley waves | frequency-dependent attenuation via predicate surface "haveDispersion" ⓘ |
| Alfvén waves | ω = k_parallel * v_A via predicate surface "dispersionRelation" ⓘ |