We derive a new lower bound for the ground state energy $E^{\rm F}(N,S)$ of N fermions with total spin S in terms of binding energies $E^{\rm F}(N-1,S \pm 1/2)$ of (N-1) fermions. Numerical examples are provided for some simple short-range or confining potentials
A fermion ground state energy functional is set up in terms of particle density, relative pair densi...
6 pages, 2 figuresInternational audienceWe consider the problem of $N$ identical fermions interactin...
We conduct a theoretical study of SU(N) fermions confined by a one-dimensional harmonic potential. F...
ThéorieWe derive a new lower bound for the ground state energy $E^{\rm F}(N,S)$ of N fermions with t...
We present inequalities on the ground state energy ofN-body systems which reduce, for bosons and fer...
The Hall-Post inequalities provide lower bounds on N-body energies in terms of N '- body energies wi...
Alternative lower bounds for the binding energy of a quantum-mechanical system of interacting partic...
We present an improved upper bound for the ground state energy of lattice fermion models with sign p...
AbstractIn this paper, we prove that the energy of an atom with nuclear charge Z is greater than − C...
Fermion gas at low temperature At low temperature the identical, noninteracting fermion average occu...
The goal of this dissertation has been to develop a method that enables one to calculate accurate, r...
The variational determination of the two-fermion reduced density matrix is described for harmonicall...
We present a generic approach to the condensed-matter ground-state problem which is complementary to...
We consider a system of $N$ spinless fermions, interacting with each other via a power-law interacti...
We study the ground state properties of interacting Fermi gases in the dilute regime, in three dimen...
A fermion ground state energy functional is set up in terms of particle density, relative pair densi...
6 pages, 2 figuresInternational audienceWe consider the problem of $N$ identical fermions interactin...
We conduct a theoretical study of SU(N) fermions confined by a one-dimensional harmonic potential. F...
ThéorieWe derive a new lower bound for the ground state energy $E^{\rm F}(N,S)$ of N fermions with t...
We present inequalities on the ground state energy ofN-body systems which reduce, for bosons and fer...
The Hall-Post inequalities provide lower bounds on N-body energies in terms of N '- body energies wi...
Alternative lower bounds for the binding energy of a quantum-mechanical system of interacting partic...
We present an improved upper bound for the ground state energy of lattice fermion models with sign p...
AbstractIn this paper, we prove that the energy of an atom with nuclear charge Z is greater than − C...
Fermion gas at low temperature At low temperature the identical, noninteracting fermion average occu...
The goal of this dissertation has been to develop a method that enables one to calculate accurate, r...
The variational determination of the two-fermion reduced density matrix is described for harmonicall...
We present a generic approach to the condensed-matter ground-state problem which is complementary to...
We consider a system of $N$ spinless fermions, interacting with each other via a power-law interacti...
We study the ground state properties of interacting Fermi gases in the dilute regime, in three dimen...
A fermion ground state energy functional is set up in terms of particle density, relative pair densi...
6 pages, 2 figuresInternational audienceWe consider the problem of $N$ identical fermions interactin...
We conduct a theoretical study of SU(N) fermions confined by a one-dimensional harmonic potential. F...