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Phys. Rev. Lett. 82, 378–381 (1999)

Several Theorems in Time-Dependent Density Functional Theory

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Paul Hessler*, Jang Park, and Kieron Burke
Department of Chemistry, Rutgers University, 315 Penn Street, Camden, New Jersey 08102

See Also: Erratum

Received 25 September 1998; published in the issue dated 11 January 1999

The time dependence of the exchange-correlation energy in density functional theory is given in terms of the exchange-correlation potential. The virial theorem for the exchange-correlation potential is shown to hold for time-dependent electronic systems and is illustrated by an exactly solved model: Hooke's atom with a time-dependent force constant. A relation between the coupling constant and functionals evaluated on scaled densities is derived.

© 1999 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.82.378
DOI:
10.1103/PhysRevLett.82.378
PACS:
71.15.Mb, 31.15.Ew, 71.45.Gm

*Permanent address: Camden High School, Baird Avenue and Park Boulevard, Camden, NJ 08103.

Present address: Engineering Sciences & Applied Mathematics, 2145 Sheridan Road, Evanston, IL 60208.

See Also

Erratum: Paul Hessler, Jang Park, and Kieron Burke, Erratum: Several Theorems in Time-Dependent Density Functional Theory [Phys. Rev. Lett. 82, 378 (1999)], Phys. Rev. Lett. 83, 5184 (1999).