Abstract
We describe the giant resonances as simple scaling solutions of a linearized Vlasov equation obtained from a time-dependent Hartree-Fock theory in phase space. For ellipsoidal deformed nuclei we get a splitting of the isoscalar giant quadrupole resonance proportional to the ground state charge quadrupole moment. The lower energy state (h..omega../sub parallel/ for prolate nuclei, h..omega../sub perpendicular/ for oblate) always gets the larger electromagnetic strength.
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