87 citations · 337 across the 24 of their papers we have counts for
26 papers
The diagonal behaviour of the one-particle Coulombic density matrix
Peter Hearnshaw, Alexander V. Sobolev
We obtain bounds for all derivatives of the non-relativistic Coulombic one-particle density matrix near the diagonal .
Rényi entropies of the free Fermi gas in multi-dimensional space at high temperature
Hajo Leschke, Alexander V. Sobolev, Wolfgang Spitzer
We study the local and (bipartite) entanglement Rényi entropies of the free Fermi gas in multi-dimensional Euclidean space in thermal equilibrium. We prove positivit…
Eigenvalue asymptotics for the one-particle kinetic energy density operator
Alexander V. Sobolev
The kinetic energy of a multi-particle system is described by the one-particle kinetic energy density matrix . Alongside the one-particle density matrix , it is o…
Eigenvalue asymptotics for the one-particle density matrix
Alexander V. Sobolev
The one-particle density matrix for a bound state of an atom or molecule is one of the key objects in the quantum-mechanical approximation schemes. We prove the asymptoti…
Eigenvalue estimates for the one-particle density matrix
Alexander V. Sobolev
It is shown that the eigenvalues of the one-particle density matrix satisfy the bound with a positive constant .
Asymptotic growth of the local ground-state entropy of the ideal Fermi gas in a constant magnetic field
Hajo Leschke, Alexander V. Sobolev, Wolfgang Spitzer
We consider the ideal Fermi gas of indistinguishable particles without spin but with electric charge, confined to a Euclidean plane perpendicular to an external const…