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- Q1635026 subject Q8373659.
- Q1635026 subject Q8851990.
- Q1635026 abstract "In quantum mechanics, specifically time-dependent density functional theory, the Runge–Gross theorem (RG theorem) shows that for a many-body system evolving from a given initial wavefunction, there exists a one-to-one mapping between the potential (or potentials) in which the system evolves and the density (or densities) of the system. The potentials under which the theorem holds are defined up to an additive purely time-dependent function: such functions only change the phase of the wavefunction and leave the density invariant. Most often the RG theorem is applied to molecular systems where the electronic density, ρ(r,t) changes in response to an external scalar potential, v(r,t), such as a time-varying electric field.The Runge–Gross theorem provides the formal foundation of time-dependent density functional theory. It shows that the density can be used as the fundamental variable in describing quantum many-body systems in place of the wavefunction, and that all properties of the system are functionals of the density.The theorem was published by Erich Runge and Eberhard K. U. Gross in 1984. As of January 2011, the original paper has been cited over 1,700 times.".
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- Q1635026 wikiPageWikiLink Q8373659.
- Q1635026 wikiPageWikiLink Q8851990.
- Q1635026 wikiPageWikiLink Q898535.
- Q1635026 wikiPageWikiLink Q900653.
- Q1635026 wikiPageWikiLink Q903501.
- Q1635026 wikiPageWikiLink Q944.
- Q1635026 comment "In quantum mechanics, specifically time-dependent density functional theory, the Runge–Gross theorem (RG theorem) shows that for a many-body system evolving from a given initial wavefunction, there exists a one-to-one mapping between the potential (or potentials) in which the system evolves and the density (or densities) of the system.".
- Q1635026 label "Runge–Gross theorem".