We consider hydrogen-like atoms in unstable levels of principal quantum
number n=2, confined to a finite size region in a non-homogeneous electric
field carrying handedness. The interplay between the internal degrees of
freedom of the atoms and the external ones of their c.m. motion can produce
P-odd contributions to the eigenenergies. The nominal order of such shifts is
10^-8 Hz. Typically such energy shifts depend linearly on the small P-violation
parameters delta_i similarequal 10^-12 (i=1,2), essentially the ratios of the
P-violating mixing matrix elements of the 2S and 2P states over the Lamb shift,
with i=1 (i=2) corresponding to the nuclear spin independent (dependent) term.
We show how such energy shifts can be enhanced by a factor of similarequal 10^6
in a resonance like way for special field configurations where a crossing of
unstable levels occurs, leading to P-violating effects proportional to
squareroot{delta_i}. Measurements of such effects can give information
concerning the ``spin crisis'' of the nucleons.Comment: 6 pages, 3 figures, LaTeX, submitted to Phys. Lett.