Add to ORKGWe consider an atom described by Müller theory, which is similar to Hartree–Fock theory, but with a modified exchange term. We prove that a nucleus of charge Z can bind at most Z + C electrons, where C is a universal constant. Our proof proceeds by comparison with Thomas–Fermi theory, and a key ingredient is a novel bound on the number of electrons far from the nucleus
We show that the Thomas-Fermi theory is exact for atoms, molecules, and solids as Z→∞.
When electrons are bounded by a weak external potential, the electronic density becomes smaller and ...
AbstractClassical and semi-classical energy states of relativistic electrons bounded by a massive an...
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 mos...
We prove that in Thomas–Fermi–Dirac–von Weizsäcker theory, a nucleus of charge Z > 0 can bind at ...
AbstractIn this paper, we prove that the energy of an atom with nuclear charge Z is greater than − C...
The ionization conjecture for atomic models states that the ionization energy and maximal excess cha...
Let N(Z) denote the number of electrons that a nucleus of charge Z binds in nonrelativistic quantum ...
It was proved by Benguria and Lieb that for an atom where the ‘electrons’ do not satisfy the exclusi...
We study the Thomas-Fermi-von Weizsäcker theory of atoms and molecules. The main result is to prove ...
Abstract. Let N ^ denote the maximum number of electrons that can be bound to an atom of nuclear cha...
In this paper, we investigate the maximum number of electrons that can be bound to a system of nucle...
As the nuclear charge Z is continuously decreased an N-electron atom undergoes a binding-unbinding t...
In this article we formulate several conjectures concerning the lowest eigenvalue of a Dirac operato...
We show that the Thomas-Fermi theory is exact for atoms, molecules, and solids as Z→∞.
When electrons are bounded by a weak external potential, the electronic density becomes smaller and ...
AbstractClassical and semi-classical energy states of relativistic electrons bounded by a massive an...
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 mos...
We prove that in Thomas–Fermi–Dirac–von Weizsäcker theory, a nucleus of charge Z > 0 can bind at ...
AbstractIn this paper, we prove that the energy of an atom with nuclear charge Z is greater than − C...
The ionization conjecture for atomic models states that the ionization energy and maximal excess cha...
Let N(Z) denote the number of electrons that a nucleus of charge Z binds in nonrelativistic quantum ...
It was proved by Benguria and Lieb that for an atom where the ‘electrons’ do not satisfy the exclusi...
We study the Thomas-Fermi-von Weizsäcker theory of atoms and molecules. The main result is to prove ...
Abstract. Let N ^ denote the maximum number of electrons that can be bound to an atom of nuclear cha...
In this paper, we investigate the maximum number of electrons that can be bound to a system of nucle...
As the nuclear charge Z is continuously decreased an N-electron atom undergoes a binding-unbinding t...
In this article we formulate several conjectures concerning the lowest eigenvalue of a Dirac operato...
We show that the Thomas-Fermi theory is exact for atoms, molecules, and solids as Z→∞.
When electrons are bounded by a weak external potential, the electronic density becomes smaller and ...
AbstractClassical and semi-classical energy states of relativistic electrons bounded by a massive an...