A time-dependent generalization of current density-functional theory in the form introduced by by Vignale, Rasolt, and Geldart [Adv. Quantum Chem. 21, 235 (1990)] is used. This theory is then applied to the case where an external harmonic electric field is present, and the changes are considered by perturbation theory. Finally, expressions for the frequency-dependent polarizabilities are derived in terms of the so-called electric and magnetic hessians. The theory is contrasted with time-dependent coupled Hartree-Fock theory; this demonstrates how the theory can be implemented. © 1996 The American Physical Society.

• Received 19 September 1995

DOI:https://doi.org/10.1103/PhysRevA.53.1316