2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/16137Performing electronic structure calculations for large systems, such as nanoparticles or metal clusters, via orbital based Hartree-Fock or Kohn-Sham theories is computationaly demanding. To study such systems, therefore, we have taken recourse to the hydrodynaic approach to time-dependent density functonal theory. In this paper we develop variation-perturbation method within this theory in terms of the particle and the current densities of a system. We then apply this to study the linear and nnlinear resonse properties of alkali metal clusters within spherical jellium backgrond model.28 pages and 5 figures in eps format, revised and new references and figures added. resubmitted to Journal of Chemical PhysicsCondensed MatterAtomic and Molecular Clusterstext