  In the present paper influence of tensor electric and magnetic
polarizabilities on spin evolution in the resonance deuteron EDM experiment is
considered in details.
  It is shown that besides EDM the electric and magnetic polarizabilities also
contribute to the vertical spin component P_3. Moreover, the electric
polarizability contributes to the P_3 component even when the deuteron EDM is
supposed to be zero and thereby the electric polarizability can imitate the EDM
contribution. It is shown that unlike the vertical component of the spin P_3
the component P_{33} of polarization tensor does not contain contribution from
the electric polarizability, whereas contribution from the magnetic
polarizability reveals only when the deuteron EDM differs from zero.
  Moreover, it is also shown that when the angle $\vartheta$ between the spin
direction and the vertical axis meets the condition $\sin
\vartheta=\sqrt{{2/3}}$ ($\cos \vartheta=\sqrt{{1/3}}$), the initial value of
$P_{33}$ appears $P_{33}(0)=0$. As a result, EDM contribution to the measured
signal linearly growth in time starting from zero that is important for
measurements.
  Therefore, measurement of the P_{33} component of deuteron tensor
polarization seems to be of particular interest, especially because the nonzero
component P_{33} appearance on its own indicates the EDM presence (in contrast
to the P_3 component, which appearance can be aroused by the tensor electric
polarizability, rather than EDM).
