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math.AP2026
Quantitative uniform resolvent estimates
Piero D'Ancona, Jérémy Faupin, David Krejcirik
We derive quantitative uniform resolvent estimates for Schrödinger operators on the half-line with inverse-square potentials, which provide a sharp behaviour in the limit of large…
math.AP2025
Global weak solutions to the Quantum Navier-Stokes system in the whole space with a confining external potential
Jérémy Faupin, Ingrid Lacroix-Violet, Julien Lequeurre
We consider a dissipative quantum fluid on the whole space () confined by an external harmonic potential. The dynamics of the quantum fluid is described by…
math.AP2022
Quasi-classical Ground States. II. Standard Model of Non-relativistic QED
Sébastien Breteaux, Jérémy Faupin, Jimmy Payet
We consider a non-relativistic electron bound by an external potential and coupled to the quantized electromagnetic field in the standard model of non-relativistic QED. We compute…