3 citations · 10 across the 13 of their papers we have counts for
14 papers
Thomas-Fermi approximation to electronic density
Victor Ivrii
In heavy atoms and molecules, on the distances from all of the nuclei (with a charge ) we prove that is approximated in -norm, by the Thomas-Fermi…
Strong Scott Conjecture
Victor Ivrii
In heavy atoms and molecules, on the distances from one of the nuclei (with a charge ) we prove that is approximated in -norm, by the electronic…
Upper Estimates for Electronic Density in Heavy Atoms and Molecules
Victor Ivrii
We derive an upper estimate for electronic density in heavy atoms and molecules. While not sharp, on the distances from the nuclei it is still better than…
Asymptotics of the ground state energy in the relativistic settings and with self-generated magnetic field
Victor Ivrii
The purpose of this paper is to derive sharp asymptotics of the ground state energy for the heavy atoms and molecules in the relativistic settings, with the self-generated magnetic…
Asymptotics of the ground state energy in the relativistic settings
Victor Ivrii
The purpose of this paper is to derive sharp asymptotics of the ground state energy for the heavy atoms and molecules in the relativistic settings, and, in particular, to derive re…
Asymptotics of the ground state energy of heavy atoms and molecules in combined magnetic field
Victor Ivrii
We consider asymptotics of the ground state energy of heavy atoms and molecules in the self-generatedl magnetic field. Namely, we consider with $…
Asymptotics of the ground state energy of heavy molecules in self-generated magnetic field
Victor Ivrii
We consider asymptotics of the ground state energy of heavy atoms and molecules in the self-generatedl magnetic field. Namely, we consider with…
Asymptotics of the ground state energy of heavy molecules and related topics. II
Victor Ivrii
We consider asymptotics of the ground state energy of heavy atoms and molecules in the strong external magnetic field and derive it including Schwinger and Dirac corrections (if ma…
Asymptotics of the ground state energy of heavy molecules and related topics
Victor Ivrii
We consider asymptotics of the ground state energy of heavy atoms and molecules and derive it including Schwinger and Dirac corrections. We consider also related topics: an excessi…
Asymptotics of the ground state energy for atoms and molecules in the self-generated magnetic field
Victor Ivrii
Asymptotics of the ground state energy of the heavy atoms and molecules in the self-generated magnetic field has been derived and for minimal energy positions of nuclei remainder e…
Global trace asymptotics in the self-generated magnetic field in the case of Coulomb-like singularities
Victor Ivrii
We consider a semiclassical asymptotics of local trace for the 3D-Schroedinger operator with self-generated magnetic field in the case when electric potential has one or several Co…
Local trace asymptotics in the self-generated magnetic field
Victor Ivrii
We consider a semiclassical asymptotics of local trace for the 3D-Schroedinger operator with self-generated magnetic field; it is given by Weyl expression with O(h^{-1}) error and…
Schroedinger Operator with Strong Magnetic Field: Propagation of singularities and sharper asymptotics
Victor Ivrii
We consider 2-dimensional Schrödinger operator with the non-degenerating magnetic field and we discuss spectral asymptotics with the remainder estimate or better.…
Schroedinger Operator with Strong Magnetic Field near Boundary
Victor Ivrii
We consider 2-dimensional Schroedinger operator with the non-degenerating magnetic field in the domain with the boundary and under certain non-degeneracy assumptions we derive spec…