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Universität Augsburg
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Universität Augsburg
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Professor Robert van Leeuwen
University of Jyväskylä / Finnland
spricht am
Donnerstag, 26. April 2018
um
15:45 Uhr
im
TUM, Boltzmann-3, Garching, Raum 03.08.011, Etage 3
über das Thema:
| Abstract: |
| In this presentation we give an overview of the basis ideas underlying time-dependent density-functional theory and, in particular, of the density to potential mapping [1,2] which is based on the time-dependent Schrödinger equation. We review the original derivation of Runge and Gross [3,4] and address some fundamental issues relating to time-analyticity. We reformulate the existence and uniqueness of the mapping as a fixed point problem on certain Banach spaces. We further discuss a numerical construction of the mapping and show some examples. We finally outline some basic open issues regarding a complete existence and uniqueness proof of the density to potential mapping. [1] “Existence, uniqueness, and construction of the density-potential mapping in time-dependent density-functional theory”, M.Ruggenthaler, M. Penz, R. van leeuwen, J. Phys. Condens. Matter 27, 203202 (2015) [2] “The density-potential mapping in quantum dynamics”, M.Penz, PhD thesis, arXiv:1610.05552 (2016) [3] “Density-Functional Theory for Time-Dependent Systems”, E.Runge and E.K.U. Gross, Phys.Rev.Lett.52, 997 (1984) [4] “Coulomb potentials and Taylor expansions in time-dependent density-functional theory”, S.Fournais, J.Lampart, M.Lewin and T.Östergaard Sörensen, Phys.Rev. A93, 062510 (2016) |
| Hierzu ergeht herzliche Einladung. |