TY - JOUR
T1 - Density-functional theory for time-dependent systems
AU - Runge, Erich
AU - Gross, E. K.U.
PY - 1984
Y1 - 1984
N2 - A density-functional formalism comparable to the Hohenberg-Kohn-Sham theory of the ground state is developed for arbitrary time-dependent systems. It is proven that the single-particle potential v(r t) leading to a given v-representable density n(r t) is uniquely determined so that the corresponding map vn is invertible. On the basis of this theorem, three schemes are derived to calculate the density: a set of hydrodynamical equations, a stationary action principle, and an effective single-particle Schrödinger equation.
AB - A density-functional formalism comparable to the Hohenberg-Kohn-Sham theory of the ground state is developed for arbitrary time-dependent systems. It is proven that the single-particle potential v(r t) leading to a given v-representable density n(r t) is uniquely determined so that the corresponding map vn is invertible. On the basis of this theorem, three schemes are derived to calculate the density: a set of hydrodynamical equations, a stationary action principle, and an effective single-particle Schrödinger equation.
UR - http://www.scopus.com/inward/record.url?scp=0012597289&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.52.997
DO - 10.1103/PhysRevLett.52.997
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:0012597289
SN - 0031-9007
VL - 52
SP - 997
EP - 1000
JO - Physical Review Letters
JF - Physical Review Letters
IS - 12
ER -