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dc.contributor.authorVignale, Giovanni, 1957-eng
dc.date.issued2004eng
dc.descriptionURL:http://link.aps.org/doi/10.1103/PhysRevB.70.201102 DOI:10.1103/PhysRevB.70.201102eng
dc.description.abstractUnder reasonable assumptions the time- dependent particle density nsrW , td and the current density jW srW , td of a many-particle system that evolves under the action of external scalar and vector potentials VsrW , td and AW srW , td and is initially in the quantum state ucs0dl can be reproduced in another many-particle system with a different two-particle interaction, subjected to external potentials V8srW , td and AW 8srW , td and starting from an initial state uc8s0dl, which yields the same density and current as ucs0dl. Here we show that given the initial state of this other many-particle system, the potentials V8srW , td and AW 8srW , td, if they exist, are uniquely determined up to gauge transformations that do not alter the initial state. As a special case, we obtain a simpler proof of the Runge-Gross theorem for time-dependent current density functional theory. This theorem provides a formal basis for the application of time- dependent current density functional theory to transport problems.eng
dc.description.sponsorshipThe author acknowledges support from NSF Grant No. DMR-0313681.eng
dc.identifier.citationPhys. Rev. B 70, 201102(R) (2004)eng
dc.identifier.issn1098-0121eng
dc.identifier.urihttp://hdl.handle.net/10355/7785eng
dc.languageEnglisheng
dc.publisherAmerican Physical Societyeng
dc.relation.ispartofcollectionUniversity of Missouri--Columbia. College of Arts and Sciences. Department of Physics and Astronomy. Physics and Astronomy publicationseng
dc.subjectdensity functional theoryeng
dc.subjectlocal density approximationeng
dc.subjectgradient and other correctionseng
dc.subject.lcshDensity functionalseng
dc.subject.lcshDensityeng
dc.subject.lcshApproximation theoryeng
dc.subject.lcshConjugate gradient methodseng
dc.titleMapping from current densities to vector potentials in time-dependent current density functional theoryeng
dc.typeArticleeng


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