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The dispersion relation for this case is of a more complicated form.
The dispersion relations allow one to then calculate the energy dependence of the real part.
Suggested a first proof of dispersion relations in quantum field theory.
He failed, however, to recognize the material dependence of the dispersion relation.
The dispersion relation is not even approximately quadratic, in the large scale.
For small values of the dispersion relation is rather linear:
In this case the dispersion relation is linear, as in section 1.2.
The dispersion relation of phonons is also important and non-trivial.
In a medium like air, where the dispersion relation is linear, i.e.
One important difference between phonons and magnons lies in their dispersion relations.
Using the dispersion relation, the result for surface gravity waves is:
In order to obtain the dispersion relation it is possible to proceed in two different ways.
"Dispersive effects" refer to dispersion relations between the frequency and the speed of the waves.
This dispersion relation is characteristic for every material.
They are also used under the name integral dispersion relations with reference to hadronic scattering.
The dispersion relation is plotted in Figure 4.
The dispersion relation is often expressed as a function, ω(k).
This is known as a dispersion relation.
Retardation effects have been neglected in obtaining the plasma-wave dispersion relation.
Due to surface tension, the dispersion relation changes to:
In case of other forms of the dispersion relation, we have dispersive waves.
While, according to the dispersion relation, a long wave of this length should propagate at its own - higher - phase velocity.
The name "dispersion relation" originally comes from optics.
In the case of the quadratic dispersion relations given above, they are given by:
This is the dispersion relation for wave propagation.