In this research was proofed that the first liner essential
problem of electro Elasticity theory has unique solution .
This problem aim to find the vector which belong to the
class and realize the folowing system of equations :
For som bondary conditions , In improving that the Dairkhli integral
was used .
In this search, we have calculated thetransverse component of energy distortion in
elasticity wave modes of quantum liquid, by using Landau's theory in Fermi liquid taken
in consideration the effect of transverse component of an external disturbanc
e on the
liquid. We calculated the current density related to this component, and the stress tensor
component according with this state.In our search we have been considered the
temperature is low enough since the relation is true, where is the Fermi
temperature.
We have compared the response of the liquid, for transverse componentof the
external disturbance, with its response for longitudinal one in same conditions, by studding
the transverse and longitudinal shear modulus (which equivalent these responses) as
functions of the frequency and wave vector of the external disturbance. We have
found in general that these responses are different, but they become equal in particular
case , where the velocity on Fermi surface, and in this case the
viscoelastic model hypotheses become true.
