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

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AN - SCOPUS:0012597289

SN - 0031-9007

VL - 52

SP - 997

EP - 1000

JO - Physical Review Letters

JF - Physical Review Letters

IS - 12

ER -