S. Breteaux

activity

20062026

most citedKinetic Energy Estimates for the Accuracy of the Time-Dependent Hartree-Fock Approximation with Coulomb Interaction

37 citations · 81 across the 20 of their papers we have counts for

collaborators

Showing 2024Show all

2 papers · 1 filter

math-ph2024

Quantum Point Charges Interacting with Quasi-classical Electromagnetic Fields

S. Breteaux, M. Correggi, M. Falconi +1

We study effective models describing systems of quantum particles interacting with quantized (electromagnetic) fields in the quasi-classical regime, i.e., when the field's state sh…

math.AP2024

On the number of bound states for fractional Schr{ö}dinger operators with critical and super-critical exponent

Sébastien Breteaux, Jérémy Faupin, Viviana Grasselli

We study the number $N_{< 0} (H_{s})$ of negative eigenvalues, counting multiplicities, of the fractional Schrödinger operator $H_{s} = (- Δ)^{s} - V (x)$ on $L^{2} (R^{d})$ , for any $d \geq 1$ …