Therefore, we must take the dispersion relation / mode corresponding to the minus sign in the equation above.
32.
The dispersion relations show conics of the free-electron energy dispersion parabolas for all possible reciprocal lattice vectors.
33.
Each propagates at generally different speeds determined by the important function called the " Dispersion Relation ".
34.
From this and the solution to dispersion relation, the phonon annihilation operator for the quantum treatment is defined as
35.
The dispersion relation for such waves is curious : For a freely-propagating internal wave propagation within a waveguide.
36.
The shape of the miniband dispersion influences miniband transport profoundly and accurate dispersion relation calculations are required given wide minibands.
37.
The Kramers Kronig relations are also used under the name " integral dispersion relations " with reference to hadronic scattering.
38.
A mismatch between bulk dispersion relations confines phonons, and the confinement becomes more favorable as the difference in dispersion increases.
39.
The dispersion relation will in general depend on several other parameters in addition to the wavenumber " k ".
40.
Substituting ( ) into ( ) and also using the dispersion relation c _ s = \ lambda \ nu, we have
