The ionization conjecture for atomic models states that the ionization energy and maximal excess charge are bounded by constants independent of the nuclear charge. We prove this for the Hartree-Fock model without the exchange term.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/46574/1/222_2005_Article_BF01245077.pd
We study the ionization problem in the Thomas-Fermi-Dirac-von Weizsäcker theory for atoms and molecu...
AbstractIn this paper, we prove that the energy of an atom with nuclear charge Z is greater than − C...
We study the Thomas-Fermi-von Weizsäcker theory of atoms and molecules. The main result is to prove ...
We prove the ionization conjecture within the Hartree-Fock theory of atoms. More precisely, we prove...
We prove that in Thomas–Fermi–Dirac–von Weizsäcker theory, a nucleus of charge Z > 0 can bind at mos...
In this paper, we investigate the maximum number of electrons that can be bound to a system of nucle...
We consider an atom described by Müller theory, which is similar to Hartree–Fock theory, but with a ...
We prove that in Thomas–Fermi–Dirac–von Weizsäcker theory, a nucleus of charge Z > 0 can bind at ...
It was proved by Benguria and Lieb that for an atom where the ‘electrons’ do not satisfy the exclusi...
In the dissertation at hand various aspects of the Hartree-Fock approximation for non-relativistic a...
Abstract. Several rigorous upper bounds to the atomic ionization potential are obtained from the Sc...
We study the Hartree model for two electrons with spin, living in the two-dimensional or three-dimen...
old submission: math-ph/0402058We study the ground state solutions of the Dirac-Fock model in the ca...
Analytical expressions for non-relativistic values of the chemical μ( N, Z) and ionization I(N, Z) p...
In the presence of an external magnetic field, we prove absence of a ground state within the Hartree...
We study the ionization problem in the Thomas-Fermi-Dirac-von Weizsäcker theory for atoms and molecu...
AbstractIn this paper, we prove that the energy of an atom with nuclear charge Z is greater than − C...
We study the Thomas-Fermi-von Weizsäcker theory of atoms and molecules. The main result is to prove ...
We prove the ionization conjecture within the Hartree-Fock theory of atoms. More precisely, we prove...
We prove that in Thomas–Fermi–Dirac–von Weizsäcker theory, a nucleus of charge Z > 0 can bind at mos...
In this paper, we investigate the maximum number of electrons that can be bound to a system of nucle...
We consider an atom described by Müller theory, which is similar to Hartree–Fock theory, but with a ...
We prove that in Thomas–Fermi–Dirac–von Weizsäcker theory, a nucleus of charge Z > 0 can bind at ...
It was proved by Benguria and Lieb that for an atom where the ‘electrons’ do not satisfy the exclusi...
In the dissertation at hand various aspects of the Hartree-Fock approximation for non-relativistic a...
Abstract. Several rigorous upper bounds to the atomic ionization potential are obtained from the Sc...
We study the Hartree model for two electrons with spin, living in the two-dimensional or three-dimen...
old submission: math-ph/0402058We study the ground state solutions of the Dirac-Fock model in the ca...
Analytical expressions for non-relativistic values of the chemical μ( N, Z) and ionization I(N, Z) p...
In the presence of an external magnetic field, we prove absence of a ground state within the Hartree...
We study the ionization problem in the Thomas-Fermi-Dirac-von Weizsäcker theory for atoms and molecu...
AbstractIn this paper, we prove that the energy of an atom with nuclear charge Z is greater than − C...
We study the Thomas-Fermi-von Weizsäcker theory of atoms and molecules. The main result is to prove ...