Monday Analysis Seminar: Binding stability of molecules in densitymatrixfunctional theories
 Date

20181112 16:30 
20181112 18:00
 Place
 Faculty of Science Building #3 Room 210

Speaker/Organizer
 Yukimi Goto (University of Tokyo)

 We study the stability of molecules in reduced densitymatrix theories (RDMT), mainly Mueller theory. It is wellknown that, going back to the work of Lieb and Thirring (1986, Phys. Rev. A 34), neutral atoms and molecules are stable in the nonrelativistic Schroedinger theory. On the other hand, densityfunctional theory may not have the same feature, since it deals only with single particle densities. Indeed, ThomasFermi (TF) theory cannot describe the binding stability of molecules by Teller's nobinding theorem. For Hartree and TF type theories Catto and Lions found some binding condition in a series of works (1992, Commun Part Diff Equ). We will extend the method of Catto and Lions to treat RDMT of molecules.
Place: Science Building #3 Room 210
Monday Analysis Seminar