The linearized Vlasov equation gives a semiclassical version of the random phase approximation. The solution of this equation is studied for electrons moving in a deformed equilibrium mean field which is approximated by a cavity of a spheroidal shape (both prolate and oblate). Contrary to spherical systems, there is a coupling between excitations of different multipolarity induced by the interaction between constituents. The dipole response presents a typical double-peaked profile with a strong dependence on the deformation.
Czechoslovak Journal of Physics
- Pub Date:
- June 1998
- Condensed Matter - Mesoscopic Systems and Quantum Hall Effect;
- Nuclear Theory
- 23 pages, 8 figures, revised version, includes discussion of scaling