2003/01/09 by Oleg Berman, Oleg L. Berman, Shaul Mukamel · 1 citation
Physics and Astronomy · #Advanced Chemical Physics Studies #Quantum and electron transport phenomena #Spectroscopy and Quantum Chemical Studies #cond-mat.stat-mech #cond-mat.str-el
paper · pdf · doi:10.1103/physreva.67.042503
24 pages
arxiv created 2003/01/09 · openalex publication_date 2003/04/15 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The time-dependent density-functional (TDDFT) equations may be written either for the Kohn-Sham orbitals in Hilbert space or for the single-electron density matrix in Liouville space. A collective-oscillator, quasiparticle, representation of the density response of many-electron systems which explicitly reveals the relevant electronic coherence sizes is developed using the Liouville-space representation of adiabatic TDDFT. Closed expressions for the nonlinear density-density response are derived, eliminating the need to solve nonlinear integral equations, as required in the Hilbert-space formulation of the response.