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EXISTENCE OF A MINIMIZER FOR THE QUASI-RELATIVISTIC KOHN-SHAM MODEL
Dublin Institute of Technology. (School of Mathematical Sciences)
Dublin Institute of Technology. (School of Mathematical Sciences)
2012 (English)In: Electronic Journal of Differential Equations, ISSN 1550-6150, E-ISSN 1072-6691, 18- p.Article in journal (Refereed) Published
Abstract [en]

We study the standard and extended Kohn-Sham models for quasi-relativistic N-electron Coulomb systems; that is, systems where the kinetic energy of the electrons is given by the quasi-relativistic operator root-alpha(-2)Delta(xn) + alpha(-4) - alpha(-2). For spin-unpolarized systems in the local density approximation, we prove existence of a ground state (or minimizer) provided that the total charge Z(tot) of K nuclei is greater than N - 1 and that Z(tot) is smaller than a critical charge Z(c) = 2 alpha(-1)pi(-1).

Place, publisher, year, edition, pages
2012. 18- p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-174106ISI: 000302626300001OAI: oai:DiVA.org:uu-174106DiVA: diva2:526493
Available from: 2012-05-13 Created: 2012-05-13 Last updated: 2017-12-07

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Melgaard, Michael

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