5 papers · 1 filter
On the ground state energy of the translation invariant Pauli-Fierz model
Jean-Marie Barbaroux, Thomas Chen, Vitali Vougalter +1
In this note, we determine the ground state energy of the translation invariant Pauli-Fierz model to subleading order with respect to powers of the finestructure constant…
Quantitative estimates on the enhanced binding for the Pauli-Fierz operator
Jean-Marie Barbaroux, Helmut Linde, Semjon Vugalter
For a quantum particle interacting with a short-range potential, we estimate from below the shift of its binding threshold, which is due to the particle interaction with a quantize…
Out of equilibrium correlations in the XY chain
Walter H. Aschbacher, Jean-Marie Barbaroux
We study the transversal XY spin-spin correlations in the non-equilibrium steady state constructed in \cite{AP03} and prove their spatial exponential decay close to equilibrium.
On the Hartree-Fock equations of the electron/positron field
J. -M. Barbaroux, W. Farkas, B. Helffer +1
We study the energy of relativistic electrons and positrons interacting via the second quantized Coulomb potential in the field of a nucleus of charge Z within the Hartree-Fock app…
Some connections between Dirac-Fock and Electron-Positron Hartree-Fock
Jean-Marie Barbaroux, Maria J. Esteban, Eric Séré
We study the ground state solutions of the Dirac-Fock model in the case of weak electronic repulsion, using bifurcation theory. They are solutions of a min-max problem. Then we inv…